ELEC153 Circuit Theory II M2A3 Lab: AC Series Circuits Introduction Previously you worked with two simple AC series circuits, R-C and R-L circuits. We continue that work in this experiment. Procedure 1. Setup the following circuit in MultiSim.The voltage source is 10 volts peak at 1000 Hz. Figure 1: Circuit for analysis using MultiSim 2. Change R1 to 1 k and C1 to 0.1 uF. Connect the oscilloscope to measure both the source voltage and the voltage across the resistor.You should have the following arrangement. Figure 2: Circuit of figure 1 connected to oscilloscope To color the wires, right click the desired wire and select “Color Segment…” and follow the instructions. Start the simulation and open the oscilloscope. You should get the following plot: Figure 3: Source voltage (red) and the voltage (blue) across the resistor The red signal is the voltage of the source and the blue is the voltage across the resistor. The colors correspond to the colors of the wires from the oscilloscope. 3. From the resulting analysis plotdetermine the peak current. To determine the peak current measure the peak voltage across the resistor and divide by the value of the resistor (1000 Ohms). Record it here. Measured Peak Current 4. Determine the peak current by calculation. Record it here. Does it match the measured peak current? Explain. Calculated Peak Current 5 Determine the phase shift between the current in the circuit and the source voltage. We look at the time between zero crossings to determine the phase shift between two waveforms. In our plot, the blue waveform (representing the circuit current or the voltage across the resistor) crosses zero before the red waveform (the circuit voltage). So, current is leading voltage in this circuit. This is exactly what should happen when we have a capacitive circuit. 6. To determine the phase shift, we first have to measure the time between zero crossings on the red and blue waveforms. This is done by moving the oscillator probes to the two zero crossing as is shown in the following figure Figure 4: Determining the phase shift between the two voltage waveforms We can see from the figure that the zero crossing difference (T2 – T1) is approximately 134 us. The ratio of the zero-crossing time difference to the period of the waveform determines the phase shift, as follows: Using our time values, we have: How do we know if this phase shift is correct? In step 4 when you did your manual calculations to find the peak current, you had to find the total impedance of the circuit, which was: Now, the current will be: Here, the positive angle on the current indicates it is leading the circuit voltage. 7. Change the frequency of the voltage source to 5000 Hz. Estimulate and perform a Transient Analysis to find the new circuit current and phase angle. Measure them and record them here: Measured Current Measured Phase Shift 8. Perform the manual calculations needed to find the circuit current and phase shift. Record the calculated values here. Do they match the measured values within reason? What has happened to the circuit with an increase in frequency? Calculated Current Calculated Phase Shift Writeup and Submission In general, for each lab you do, you will be asked to setup certain circuits, simulate them, record the results, verify the results are correct by hand, and then discuss the solution. Your lab write-up should contain a one page, single spaced discussion of the lab experiment, what went right for you, what you had difficulty with, what you learned from the experiment, how it applies to our coursework, and any other comment you can think of. In addition, you should include screen shots from the MultiSim software and any other figure, table, or diagram as necessary.

ELEC153 Circuit Theory II M2A3 Lab: AC Series Circuits Introduction Previously you worked with two simple AC series circuits, R-C and R-L circuits. We continue that work in this experiment. Procedure 1. Setup the following circuit in MultiSim.The voltage source is 10 volts peak at 1000 Hz. Figure 1: Circuit for analysis using MultiSim 2. Change R1 to 1 k and C1 to 0.1 uF. Connect the oscilloscope to measure both the source voltage and the voltage across the resistor.You should have the following arrangement. Figure 2: Circuit of figure 1 connected to oscilloscope To color the wires, right click the desired wire and select “Color Segment…” and follow the instructions. Start the simulation and open the oscilloscope. You should get the following plot: Figure 3: Source voltage (red) and the voltage (blue) across the resistor The red signal is the voltage of the source and the blue is the voltage across the resistor. The colors correspond to the colors of the wires from the oscilloscope. 3. From the resulting analysis plotdetermine the peak current. To determine the peak current measure the peak voltage across the resistor and divide by the value of the resistor (1000 Ohms). Record it here. Measured Peak Current 4. Determine the peak current by calculation. Record it here. Does it match the measured peak current? Explain. Calculated Peak Current 5 Determine the phase shift between the current in the circuit and the source voltage. We look at the time between zero crossings to determine the phase shift between two waveforms. In our plot, the blue waveform (representing the circuit current or the voltage across the resistor) crosses zero before the red waveform (the circuit voltage). So, current is leading voltage in this circuit. This is exactly what should happen when we have a capacitive circuit. 6. To determine the phase shift, we first have to measure the time between zero crossings on the red and blue waveforms. This is done by moving the oscillator probes to the two zero crossing as is shown in the following figure Figure 4: Determining the phase shift between the two voltage waveforms We can see from the figure that the zero crossing difference (T2 – T1) is approximately 134 us. The ratio of the zero-crossing time difference to the period of the waveform determines the phase shift, as follows: Using our time values, we have: How do we know if this phase shift is correct? In step 4 when you did your manual calculations to find the peak current, you had to find the total impedance of the circuit, which was: Now, the current will be: Here, the positive angle on the current indicates it is leading the circuit voltage. 7. Change the frequency of the voltage source to 5000 Hz. Estimulate and perform a Transient Analysis to find the new circuit current and phase angle. Measure them and record them here: Measured Current Measured Phase Shift 8. Perform the manual calculations needed to find the circuit current and phase shift. Record the calculated values here. Do they match the measured values within reason? What has happened to the circuit with an increase in frequency? Calculated Current Calculated Phase Shift Writeup and Submission In general, for each lab you do, you will be asked to setup certain circuits, simulate them, record the results, verify the results are correct by hand, and then discuss the solution. Your lab write-up should contain a one page, single spaced discussion of the lab experiment, what went right for you, what you had difficulty with, what you learned from the experiment, how it applies to our coursework, and any other comment you can think of. In addition, you should include screen shots from the MultiSim software and any other figure, table, or diagram as necessary.

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1) If a superalloy jet engine is heated so that its length in each direction expands by 1%, what is its percentage change in volume (assume it is roughly cubic)? Hint: Calculate its volume before and after heating, assuming that its length, height, and width are the same, i.e., a cubic engine. 2) Calculate the density of Al in g/cm3, given that it forms an FCC crystal structure with an atomic radius of 0.143 nm (10-7 cm) and a mass of 27 g/mole. Avogadro’s number is 6.02 x 1023 atoms/mole. Hint: calculate the number of atoms in each cell carefully. 3) Calculate the vacancy concentration in aluminum at 50%, 70%, and 90% of TMP=923 K. Gvf = 0.66 eV, and k = 8.62 x 10-5 eV/K. Calculate ln (nv/N) and 1/T, and plot on a linear scale (hint: should be a straight line). 4) a) If the vacancy concentration in Cu is measured to be 10-5 at 1300K (near its melting point), what is Evf? (assume the pre-exponential factor is 1; ie, nv/N = exp (-Evf/kT) b) What would be the concentration at 650 K? 5) Determine the largest size of an interstitial hole in FCC Fe. RFe = 0.124 nm. Would a C atom sit in an interstitial or substitutional site (rC = 0.077 nm)?

1) If a superalloy jet engine is heated so that its length in each direction expands by 1%, what is its percentage change in volume (assume it is roughly cubic)? Hint: Calculate its volume before and after heating, assuming that its length, height, and width are the same, i.e., a cubic engine. 2) Calculate the density of Al in g/cm3, given that it forms an FCC crystal structure with an atomic radius of 0.143 nm (10-7 cm) and a mass of 27 g/mole. Avogadro’s number is 6.02 x 1023 atoms/mole. Hint: calculate the number of atoms in each cell carefully. 3) Calculate the vacancy concentration in aluminum at 50%, 70%, and 90% of TMP=923 K. Gvf = 0.66 eV, and k = 8.62 x 10-5 eV/K. Calculate ln (nv/N) and 1/T, and plot on a linear scale (hint: should be a straight line). 4) a) If the vacancy concentration in Cu is measured to be 10-5 at 1300K (near its melting point), what is Evf? (assume the pre-exponential factor is 1; ie, nv/N = exp (-Evf/kT) b) What would be the concentration at 650 K? 5) Determine the largest size of an interstitial hole in FCC Fe. RFe = 0.124 nm. Would a C atom sit in an interstitial or substitutional site (rC = 0.077 nm)?

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This is about the vibrations in aircraft wings Please answer the followings: 1-How many degrees of freedom are there? Is the forcing at a point or distributed? If distributed, how to simplify to a single degree-of-freedom formulation? 2-derivation of equations of motion 3- sketch of model system including where is stiffness/damping/direction of vibration 4- dynamic parameters (initial conditions, external excitation parameters like frequency and magnitude) 5- discuss assumptions/simplifications & justification anticipated results based on physics/background **The stiffness of this model can be considered as a bending stifness where k=(3EI/L^3) 6-overview of results 7- accurate description of how results were determined (analytical solutions, numerical integration, type of numerical integration) 8- displacement plot in time (appropriate length of time to show relevant dynamics) 9- discussion of results accuracy: transient vs steady state, resolution if using numerical integration 10- additional considerations (ex. How results vary for varying model or excitation parameters) EYMA 1 Homework: DUE ON 13, 2017 by 4:00 pm Watch the documentary, “White People”, below. What are your reactions? Do racial and cultural ideas, conflicts, attitudes, etc. play out the way they were depicted in the documentary? Briefly explain your thoughts. Then, breifly describe one challenge you have experienced when communicating with someone of a different cultural group. Be honest, but not critical. What was most discomforting about the interaction? Lastly, discuss the factors that make it difficult to understand the norms and values of a culture. How can you prepare yourself to understand and/or adapt to a different culture? https://youtu.be/_zjj1PmJcRM Answer every question/inquiry stated, thoughtfully and completely. Assignment responses need to be at least 250 words, typed, in 12pt Times New Roman font, using APA format for citations, edited and proof read for grammar. Project topic List 1. Design a Doubly Fed Induction Machine (DFIM) wind turbine system The system size is targeted at 200 kW. The system must generate electricity for a variable speed wind profile and provide the generated power to the grid at 60Hz. Each group needs to submit only one project report. The report should have the following items: – Abstract – One-page introduction – Simulation results – Discussion – Conclusions An essay about the Novel (Never Let Me Go). the subject is about freedom, with freedom theme and example from the book. For example, the kids life in Hailsham and every place they go to and how their freedom is limited according to a normal human. introduction that have (opener and bridge and thesis). 600 words Assignment Flextronics will be a case study used at different times throughout the workshop. The case will be used to illustrate a number of techniques and learning points; it will begin by asking for: ? Part One: an assessment of the electronics manufacturing services industry ? Part Two: the company’s business strategy Analytical Exercise? (Google) READ: BBC: Syria War: G7 Rejects Sanctions on Russia after “Chemical Attack” (April 11, 2017) 1. Nancy’s plans for a square garden include an area of (x2 + 12x + 36) m2. Write expressions for the length and width of this square garden. 2. The plans for the square garden shows a length of 12 m. What is the width of the square garden? Using the area from problem 1, what is the value of x? What is the total area of this square garden?

This is about the vibrations in aircraft wings Please answer the followings: 1-How many degrees of freedom are there? Is the forcing at a point or distributed? If distributed, how to simplify to a single degree-of-freedom formulation? 2-derivation of equations of motion 3- sketch of model system including where is stiffness/damping/direction of vibration 4- dynamic parameters (initial conditions, external excitation parameters like frequency and magnitude) 5- discuss assumptions/simplifications & justification anticipated results based on physics/background **The stiffness of this model can be considered as a bending stifness where k=(3EI/L^3) 6-overview of results 7- accurate description of how results were determined (analytical solutions, numerical integration, type of numerical integration) 8- displacement plot in time (appropriate length of time to show relevant dynamics) 9- discussion of results accuracy: transient vs steady state, resolution if using numerical integration 10- additional considerations (ex. How results vary for varying model or excitation parameters) EYMA 1 Homework: DUE ON 13, 2017 by 4:00 pm Watch the documentary, “White People”, below. What are your reactions? Do racial and cultural ideas, conflicts, attitudes, etc. play out the way they were depicted in the documentary? Briefly explain your thoughts. Then, breifly describe one challenge you have experienced when communicating with someone of a different cultural group. Be honest, but not critical. What was most discomforting about the interaction? Lastly, discuss the factors that make it difficult to understand the norms and values of a culture. How can you prepare yourself to understand and/or adapt to a different culture? https://youtu.be/_zjj1PmJcRM Answer every question/inquiry stated, thoughtfully and completely. Assignment responses need to be at least 250 words, typed, in 12pt Times New Roman font, using APA format for citations, edited and proof read for grammar. Project topic List 1. Design a Doubly Fed Induction Machine (DFIM) wind turbine system The system size is targeted at 200 kW. The system must generate electricity for a variable speed wind profile and provide the generated power to the grid at 60Hz. Each group needs to submit only one project report. The report should have the following items: – Abstract – One-page introduction – Simulation results – Discussion – Conclusions An essay about the Novel (Never Let Me Go). the subject is about freedom, with freedom theme and example from the book. For example, the kids life in Hailsham and every place they go to and how their freedom is limited according to a normal human. introduction that have (opener and bridge and thesis). 600 words Assignment Flextronics will be a case study used at different times throughout the workshop. The case will be used to illustrate a number of techniques and learning points; it will begin by asking for: ? Part One: an assessment of the electronics manufacturing services industry ? Part Two: the company’s business strategy Analytical Exercise? (Google) READ: BBC: Syria War: G7 Rejects Sanctions on Russia after “Chemical Attack” (April 11, 2017) 1. Nancy’s plans for a square garden include an area of (x2 + 12x + 36) m2. Write expressions for the length and width of this square garden. 2. The plans for the square garden shows a length of 12 m. What is the width of the square garden? Using the area from problem 1, what is the value of x? What is the total area of this square garden?

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EXPERIMENT 6 FET CHARACTERISTIC CURVES ________________________________________ Bring a diskette to save your data. ________________________________________ OBJECT: The objective of this lab is to investigate the DC characteristics and operation of a field effect transistor (FET). The FET recommended to be used in this lab is 2N5486 n-channel FET. • Gathering data for the DC characteristics ________________________________________ APPARATUS: Dual DC Power Supply, Voltmeter, and 1k resistors, 2N5486 N-Channel FET. ________________________________________ THEORY: A JFET (Junction Field Effect Transistor) is a three terminal device (drain, source, and gate) similar to the BJT. The difference between them is that the JFET is a voltage controlled constant current device, whereas BJT is a current controlled current source device. Whereas for BJT the relationship between an output parameter, iC, and an input parameter, iB, is given by a constant , the relationship in JFET between an output parameter, iD, and an input parameter, vGS, is more complex. PROCEDURE: Measuring ID versus VDS (Output Characteristics) 1. Build the circuit shown below. 2. Obtain the output characteristics i.e. ID versus VDS. a. Set VGS = 0. Vary the voltage across drain (VDS) from 0 to 8 V with steps of 1 V and measure the corresponding drain current (ID). b. Repeat the procedure for different values of VGS. (0V, -0.5V, -1V, -1.5V, -2V, -2.5V, -3.0V, -3.5V, -4.0V). 3. Record the values in Table 1 and plot the graph ID vs. VGS. VGS 0 -0.5 -1.0 -1.5` -2.0 -2.5 -3.0 -3.5 -4.0 VDS ID ID ID ID ID ID ID ID ID 0 0 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0mA 1 0 0.7 mA 0.7 mA 0.66 mA 0.6 mA 0.6 mA 0.5 0.1mA 0mA 2 0 1.5 mA 1.3 mA 1.3mA 1.2 mA 1.1 mA 0.7 0.1mA 0mA 3 0 2.1 mA 2.6 mA 1.9 mA 1.8 mA 1.5 mA 0.8 mA 0.1mA 0mA 4 0 2.7 mA 2.6 mA 2.5 mA 2.4 mA 1.7 mA 0.8 mA 0.1mA 0mA 5 0 3.4 mA 3.3 mA 3.1 mA 2.8 mA 1.8 mA 0.9 mA 0.1mA 0mA 6 0 4.1 mA 3.4 mA 3.7 mA 3.2 mA 1.9 mA 0.9 mA 0.1mA 0mA 7 0 4.7 mA 4.5 mA 4.2 mA 3.4 mA 1.9 mA 0.9 mA 0.1mA 0mA 8 0 5.3 mA 5.1 mA 6.6 mA 3.5 mA 2.0 mA 0.9 mA 0.1mA 0mA Table 1. vds=0:8; id=[0 6.2e-3 9.7e-3 11.3e-3 11.9e-3 12.2e-3 12.3e-3 12.3e-3 12.32e-3]; plot(vds,id);grid on;hold on id2=[0 5.23e-3 8.05e-3 9.15e-3 9.57e-3 9.77e-3 9.88e-3 9.9e-3 9.92e-3]; plot(vds,id2);grid on;hold on id3=[0 4.29e-3 6.41e-3 7.17e-3 7.46e-3 7.60e-3 7.67e-3 7.73e-3 7.76e-3]; plot(vds,id3);grid on;hold on ________________________________________ Measuring ID versus VGS (Transconductance Characteristics) 1. For the same circuit, obtain the transconductance characteristics. i.e. ID versus VGS. a. Set a particular value of voltage for VDS, i.e. 5V. Start with a gate voltage VGS of 0 V, and measure the corresponding drain current (ID). b. Then decrease VGS in steps of 0.5 V until VGS is -4V. c. At each step record the drain current. VDS = 5 V VGS ID 0 3.42 mA -0.5 3.36 mA -1.00 3.27 mA -1.50 3.12 mA -2.00 2.79 mA -2.50 1.84 mA -3.00 0.71 mA -3.50 0.11 mA -4.00 0 mA Table 2. 2. Plot the graph with ID versus VGS using Excel, MATLAB, or some other program. Discussion Questions—Make sure you answer the following questions in your discussion. Use all of the data obtained to answer the following questions: 1. Discuss the output and transconductance curves obtained in lab? Are they what you expected? 2. Are the output characteristics spaced evenly? Should they be? 3. What are the applications of a JFET?

EXPERIMENT 6 FET CHARACTERISTIC CURVES ________________________________________ Bring a diskette to save your data. ________________________________________ OBJECT: The objective of this lab is to investigate the DC characteristics and operation of a field effect transistor (FET). The FET recommended to be used in this lab is 2N5486 n-channel FET. • Gathering data for the DC characteristics ________________________________________ APPARATUS: Dual DC Power Supply, Voltmeter, and 1k resistors, 2N5486 N-Channel FET. ________________________________________ THEORY: A JFET (Junction Field Effect Transistor) is a three terminal device (drain, source, and gate) similar to the BJT. The difference between them is that the JFET is a voltage controlled constant current device, whereas BJT is a current controlled current source device. Whereas for BJT the relationship between an output parameter, iC, and an input parameter, iB, is given by a constant , the relationship in JFET between an output parameter, iD, and an input parameter, vGS, is more complex. PROCEDURE: Measuring ID versus VDS (Output Characteristics) 1. Build the circuit shown below. 2. Obtain the output characteristics i.e. ID versus VDS. a. Set VGS = 0. Vary the voltage across drain (VDS) from 0 to 8 V with steps of 1 V and measure the corresponding drain current (ID). b. Repeat the procedure for different values of VGS. (0V, -0.5V, -1V, -1.5V, -2V, -2.5V, -3.0V, -3.5V, -4.0V). 3. Record the values in Table 1 and plot the graph ID vs. VGS. VGS 0 -0.5 -1.0 -1.5` -2.0 -2.5 -3.0 -3.5 -4.0 VDS ID ID ID ID ID ID ID ID ID 0 0 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0.002mA 0mA 1 0 0.7 mA 0.7 mA 0.66 mA 0.6 mA 0.6 mA 0.5 0.1mA 0mA 2 0 1.5 mA 1.3 mA 1.3mA 1.2 mA 1.1 mA 0.7 0.1mA 0mA 3 0 2.1 mA 2.6 mA 1.9 mA 1.8 mA 1.5 mA 0.8 mA 0.1mA 0mA 4 0 2.7 mA 2.6 mA 2.5 mA 2.4 mA 1.7 mA 0.8 mA 0.1mA 0mA 5 0 3.4 mA 3.3 mA 3.1 mA 2.8 mA 1.8 mA 0.9 mA 0.1mA 0mA 6 0 4.1 mA 3.4 mA 3.7 mA 3.2 mA 1.9 mA 0.9 mA 0.1mA 0mA 7 0 4.7 mA 4.5 mA 4.2 mA 3.4 mA 1.9 mA 0.9 mA 0.1mA 0mA 8 0 5.3 mA 5.1 mA 6.6 mA 3.5 mA 2.0 mA 0.9 mA 0.1mA 0mA Table 1. vds=0:8; id=[0 6.2e-3 9.7e-3 11.3e-3 11.9e-3 12.2e-3 12.3e-3 12.3e-3 12.32e-3]; plot(vds,id);grid on;hold on id2=[0 5.23e-3 8.05e-3 9.15e-3 9.57e-3 9.77e-3 9.88e-3 9.9e-3 9.92e-3]; plot(vds,id2);grid on;hold on id3=[0 4.29e-3 6.41e-3 7.17e-3 7.46e-3 7.60e-3 7.67e-3 7.73e-3 7.76e-3]; plot(vds,id3);grid on;hold on ________________________________________ Measuring ID versus VGS (Transconductance Characteristics) 1. For the same circuit, obtain the transconductance characteristics. i.e. ID versus VGS. a. Set a particular value of voltage for VDS, i.e. 5V. Start with a gate voltage VGS of 0 V, and measure the corresponding drain current (ID). b. Then decrease VGS in steps of 0.5 V until VGS is -4V. c. At each step record the drain current. VDS = 5 V VGS ID 0 3.42 mA -0.5 3.36 mA -1.00 3.27 mA -1.50 3.12 mA -2.00 2.79 mA -2.50 1.84 mA -3.00 0.71 mA -3.50 0.11 mA -4.00 0 mA Table 2. 2. Plot the graph with ID versus VGS using Excel, MATLAB, or some other program. Discussion Questions—Make sure you answer the following questions in your discussion. Use all of the data obtained to answer the following questions: 1. Discuss the output and transconductance curves obtained in lab? Are they what you expected? 2. Are the output characteristics spaced evenly? Should they be? 3. What are the applications of a JFET?

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The following equation can be used to compute values of y as a function of x: y = b  e?ax  sin(b  x)  (0:012  x4 ? 0:15  x3 + 0:075  x2 + 2:5  x) where a and b are parameters. Write the equation for implementation with MATLAB, where a = 2, b = 5, and x is a vector holding values from 0 to =24 in increments of x = =40. Employ the minimum number of periods (i.e., dot notation) so that your formulation yields a vector for y. In addition, compute the vector z = y2 where each element holds the square of each element of y. Combine x, y, and z into a matrix w, where each column holds one of the variables, and display w using the short g format. In addition, generate a labeled plot of y and z versus x. Include a legend on the plot (use help to understand how to do this). For y, use a 1:5-point, dashdotted red line with 14-point, red-edged white-faced pentagram-shaped markers. For z, use a standard-sized (i.e., default) solid blue line with standard-sized, blue-edged, green-faced square markers.

The following equation can be used to compute values of y as a function of x: y = b  e?ax  sin(b  x)  (0:012  x4 ? 0:15  x3 + 0:075  x2 + 2:5  x) where a and b are parameters. Write the equation for implementation with MATLAB, where a = 2, b = 5, and x is a vector holding values from 0 to =24 in increments of x = =40. Employ the minimum number of periods (i.e., dot notation) so that your formulation yields a vector for y. In addition, compute the vector z = y2 where each element holds the square of each element of y. Combine x, y, and z into a matrix w, where each column holds one of the variables, and display w using the short g format. In addition, generate a labeled plot of y and z versus x. Include a legend on the plot (use help to understand how to do this). For y, use a 1:5-point, dashdotted red line with 14-point, red-edged white-faced pentagram-shaped markers. For z, use a standard-sized (i.e., default) solid blue line with standard-sized, blue-edged, green-faced square markers.

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EGR 140 Scientific Programming Assignment # 7 Spring 2017 Use MATLAB to solve each problem by writing script files; copy and paste the script file AND the results in the Command Window and/or plot in the Figure Window to a WORD document that has your name and section in the headers of each page and the page number in each footer. Edit the output to remove extra lines and empty spaces. The script files SHOULD have comments for easy readability; take a print out of the Word file and staple before submission. Due by 3 PM on April 11, 2017. Write a used-defined function that calculates the average and the standard deviation of a list of numbers. Use the function to calculate the average and the standard deviation of the following list of grades: 80 75 91 60 79 89 65 80 95 50 81 Note: The average x_ave (or mean) of a given set of n number x_1,x_2,…..,x_n is given by: x_ave=(x_1+x_2+x_3+⋯+x_n)/n The standard deviation is given by: σ=√((∑_(i=1)^(i=n)▒(x_i-x_ave )^2 )/(n-1)) DO not use built-in functions to calculate the mean and the standard deviation. Write a user-defined function that arranges the digits of a given (positive) number in a row vector in the same order as they appear in the number; the function should also arrange the digits in the decimal part in a different vector. For example, if the number is 2645.12, the vectors should be [2 6 4 5] and [1 2]. The whole number can be from 0 to 10 digits long and the decimal part 0 to 6. Check the validity of the function using a few numbers of your choice. A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure. The enclosure is to be built to have an area A of 1600 ft2. The cost of the fence is $40 per foot for the curved portion, and $30 per foot for the straight sides. Determine the values of R and L required to minimize the total cost of the fence and the minimum cost using calculus approach. A water tank consists of a cylindrical part of radius r and height h, and a hemispherical top. The tank is to be constructed to hold 500 meter3 of fluid when filled. The cost to construct the cylindrical part of the tank is $300 per square meter of the surface area; the hemispherical part costs $400 per square meter. Determine the radius that results in the least cost and compute the corresponding height and the cost using graphical approach. Verify your results using the calculus approach. A ceramic tile has the design shown in the figure. The shaded area is painted black and the rest of the tile is white. The border line between the red and the white areas follows the equation: y=Asin(x) Determine A such that the area of the white and black colors will be the same.

EGR 140 Scientific Programming Assignment # 7 Spring 2017 Use MATLAB to solve each problem by writing script files; copy and paste the script file AND the results in the Command Window and/or plot in the Figure Window to a WORD document that has your name and section in the headers of each page and the page number in each footer. Edit the output to remove extra lines and empty spaces. The script files SHOULD have comments for easy readability; take a print out of the Word file and staple before submission. Due by 3 PM on April 11, 2017. Write a used-defined function that calculates the average and the standard deviation of a list of numbers. Use the function to calculate the average and the standard deviation of the following list of grades: 80 75 91 60 79 89 65 80 95 50 81 Note: The average x_ave (or mean) of a given set of n number x_1,x_2,…..,x_n is given by: x_ave=(x_1+x_2+x_3+⋯+x_n)/n The standard deviation is given by: σ=√((∑_(i=1)^(i=n)▒(x_i-x_ave )^2 )/(n-1)) DO not use built-in functions to calculate the mean and the standard deviation. Write a user-defined function that arranges the digits of a given (positive) number in a row vector in the same order as they appear in the number; the function should also arrange the digits in the decimal part in a different vector. For example, if the number is 2645.12, the vectors should be [2 6 4 5] and [1 2]. The whole number can be from 0 to 10 digits long and the decimal part 0 to 6. Check the validity of the function using a few numbers of your choice. A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure. The enclosure is to be built to have an area A of 1600 ft2. The cost of the fence is $40 per foot for the curved portion, and $30 per foot for the straight sides. Determine the values of R and L required to minimize the total cost of the fence and the minimum cost using calculus approach. A water tank consists of a cylindrical part of radius r and height h, and a hemispherical top. The tank is to be constructed to hold 500 meter3 of fluid when filled. The cost to construct the cylindrical part of the tank is $300 per square meter of the surface area; the hemispherical part costs $400 per square meter. Determine the radius that results in the least cost and compute the corresponding height and the cost using graphical approach. Verify your results using the calculus approach. A ceramic tile has the design shown in the figure. The shaded area is painted black and the rest of the tile is white. The border line between the red and the white areas follows the equation: y=Asin(x) Determine A such that the area of the white and black colors will be the same.

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Hobbes argues that “Nature hath made men. . . .equal.” What sort of equality is he talking about? How are people equal?

Hobbes argues that “Nature hath made men. . . .equal.” What sort of equality is he talking about? How are people equal?

People are equivalent both physically and psychologically. Hobbes’s stats that … Read More...
1. a. Fumarase is an enzyme in the citric acid cycle that catalyzes the conversion of fumarate to L-malate. Given the substrate (fumarate) concentrations and initial velocities shown below, construct a Lineweaver-Burk plot and determine the Vmax and Km values for the fumarase-catalyzed reaction. You may attach the graph to this assignment. Fumarate (mM) Rate (mmol-1min-1) 2.0 2.5 3.3 3.1 5.0 3.6 10.0 4.2 b. Fumarase has a MW of 194,000 and has 4 identical subunits, each with an active site. If the enzyme concentration is 1 x 10-2 M for the experiment in part a, calculate the kcat value for the reaction of fumarase with fumarate. 1. An enzyme which follows Michaelis-Menten kinetics has a Km of 1 µm. The initial velocity is 0.1 µM min-1 at a substrate concentration of 100 µM. What is the initial velocity when the [S] is equal to: (a) 1 mM (b) 1 µM (c) 4 µM Note: Show your work.

1. a. Fumarase is an enzyme in the citric acid cycle that catalyzes the conversion of fumarate to L-malate. Given the substrate (fumarate) concentrations and initial velocities shown below, construct a Lineweaver-Burk plot and determine the Vmax and Km values for the fumarase-catalyzed reaction. You may attach the graph to this assignment. Fumarate (mM) Rate (mmol-1min-1) 2.0 2.5 3.3 3.1 5.0 3.6 10.0 4.2 b. Fumarase has a MW of 194,000 and has 4 identical subunits, each with an active site. If the enzyme concentration is 1 x 10-2 M for the experiment in part a, calculate the kcat value for the reaction of fumarase with fumarate. 1. An enzyme which follows Michaelis-Menten kinetics has a Km of 1 µm. The initial velocity is 0.1 µM min-1 at a substrate concentration of 100 µM. What is the initial velocity when the [S] is equal to: (a) 1 mM (b) 1 µM (c) 4 µM Note: Show your work.

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