For Day 19 Homework Cover Sheet Name:_________________________________________________ Read Pages from 294-315, or watch the videos listed below Introduction to Division http://www.youtube.com/watch?v=7gZ4yW1nr9Y (13 min) Introduction to Division of Rational Numbers http://www.youtube.com/watch?v=9LTICGxqwKE (10 min) Division of Decimal Numbers and Rational Expressions http://www.youtube.com/watch?v=BGReDOGObbk (7 min) Division Algorithm for Decimal Numbers and Polynomials http://www.youtube.com/watch?v=XXr0ixy8PfA (8 min) Division Algorithm for Decimal Polynomials http://www.youtube.com/watch?v=PQrlt8PhFAE (11 min) Attempt problems from workbook pages 91-97 Summary of the lectures you watched should include answers to the following questions. When doing division of rational expressions or numbers, what allows us to multiply by the reciprocal of the divisor instead? For example, 3/4÷3/5=3/4×5/3 or (x^2-1)/x÷(x+1)/(x-2)=(x^2-1)/x×(x-2)/(x-1) List any parts of the video lecture (if there are any) that were unclear or you had trouble understanding. Please be specific and do not just say “All of it”. Questions you had difficulty with or felt stuck on- List the number for the ALEKS topics you were stuck on from the list at the end of the video logs-   ALEKS Topics Mastered Division facts Division involving a whole number and a fraction Division involving quotients with intermediate zeros Division of a decimal by a power of ten Division with carry Division with trailing zeros: Problem type 1 Division with trailing zeros: Problem type 2 Division without carry Fraction division Integer multiplication and division Multiplying or dividing numbers written in scientific notation Quotient and remainder: Problem type 1 Quotient and remainder: Problem type 2 Quotient and remainder: Problem type 3 Rationalizing the denominator of a radical expression Simplifying a product and quotient involving square roots of negative numbers The reciprocal of a number Writing a ratio as a percentage without a calculator

For Day 19 Homework Cover Sheet Name:_________________________________________________ Read Pages from 294-315, or watch the videos listed below Introduction to Division http://www.youtube.com/watch?v=7gZ4yW1nr9Y (13 min) Introduction to Division of Rational Numbers http://www.youtube.com/watch?v=9LTICGxqwKE (10 min) Division of Decimal Numbers and Rational Expressions http://www.youtube.com/watch?v=BGReDOGObbk (7 min) Division Algorithm for Decimal Numbers and Polynomials http://www.youtube.com/watch?v=XXr0ixy8PfA (8 min) Division Algorithm for Decimal Polynomials http://www.youtube.com/watch?v=PQrlt8PhFAE (11 min) Attempt problems from workbook pages 91-97 Summary of the lectures you watched should include answers to the following questions. When doing division of rational expressions or numbers, what allows us to multiply by the reciprocal of the divisor instead? For example, 3/4÷3/5=3/4×5/3 or (x^2-1)/x÷(x+1)/(x-2)=(x^2-1)/x×(x-2)/(x-1) List any parts of the video lecture (if there are any) that were unclear or you had trouble understanding. Please be specific and do not just say “All of it”. Questions you had difficulty with or felt stuck on- List the number for the ALEKS topics you were stuck on from the list at the end of the video logs-   ALEKS Topics Mastered Division facts Division involving a whole number and a fraction Division involving quotients with intermediate zeros Division of a decimal by a power of ten Division with carry Division with trailing zeros: Problem type 1 Division with trailing zeros: Problem type 2 Division without carry Fraction division Integer multiplication and division Multiplying or dividing numbers written in scientific notation Quotient and remainder: Problem type 1 Quotient and remainder: Problem type 2 Quotient and remainder: Problem type 3 Rationalizing the denominator of a radical expression Simplifying a product and quotient involving square roots of negative numbers The reciprocal of a number Writing a ratio as a percentage without a calculator

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Comp755 HW 2 – Fall 2015 1. Problem 4.2 (10pts) 2. Problem 4.4 (15pts) 3. Problem 5.25 (10pts) 4. Problem 10.2 (15pts) . Hint: Create three Gantt charts where each square represents 10 time units. a. The first chart should use earliest deadline using the processes that are currently available. Since there is no preemption, some processes will not be scheduled if there start deadline is missed. b. The second chart should schedule strictly by the earliest deadline. The processor will be idle if the process with the earliest deadline has not arrived. c. The third chart should just use FCFS. 5. (Synchronize threads) Write a program that launches 1,000 threads. Each thread adds 1 to a variable sum that initially is 0. You need to pass sum by reference to each thread. In order to pass it by reference, define an Integer wrapper object to hold sum. Run the program with and without synchronization to see its effect (Create a command line argument where passing a 0 means run unsynchronized and passing a 1 means to run synchronized). Submit your entire Netbeans project (50pts).

Comp755 HW 2 – Fall 2015 1. Problem 4.2 (10pts) 2. Problem 4.4 (15pts) 3. Problem 5.25 (10pts) 4. Problem 10.2 (15pts) . Hint: Create three Gantt charts where each square represents 10 time units. a. The first chart should use earliest deadline using the processes that are currently available. Since there is no preemption, some processes will not be scheduled if there start deadline is missed. b. The second chart should schedule strictly by the earliest deadline. The processor will be idle if the process with the earliest deadline has not arrived. c. The third chart should just use FCFS. 5. (Synchronize threads) Write a program that launches 1,000 threads. Each thread adds 1 to a variable sum that initially is 0. You need to pass sum by reference to each thread. In order to pass it by reference, define an Integer wrapper object to hold sum. Run the program with and without synchronization to see its effect (Create a command line argument where passing a 0 means run unsynchronized and passing a 1 means to run synchronized). Submit your entire Netbeans project (50pts).

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A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of loop is negligible. QUESTION: A) When leaving the field the coil experiences a magnetic force to the left. B) While the loop is entirely in the field, the emf in the loop is zero. C) When entering the field the coil experiences a magnetic force to the right. D) Upon leaving the field, a clockwise current flows in the loop. E) Upon entering the field, a clockwise current flows in the loop.

A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of loop is negligible. QUESTION: A) When leaving the field the coil experiences a magnetic force to the left. B) While the loop is entirely in the field, the emf in the loop is zero. C) When entering the field the coil experiences a magnetic force to the right. D) Upon leaving the field, a clockwise current flows in the loop. E) Upon entering the field, a clockwise current flows in the loop.

A six- turn square loop of sides 0.2 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.5 T. If the wire reshaped into a three- turn square of sides 0.4 m in 0.1 sec, what is the magnitude of the emf induced in wire during this time ? 1) 0.68 volts 2) 1.2 volts 3) 2.4 volts 4) 3.6 volts 5) 4.8 volts.

A six- turn square loop of sides 0.2 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.5 T. If the wire reshaped into a three- turn square of sides 0.4 m in 0.1 sec, what is the magnitude of the emf induced in wire during this time ? 1) 0.68 volts 2) 1.2 volts 3) 2.4 volts 4) 3.6 volts 5) 4.8 volts.

 
Math 285 Quiz One Name: ________________ 1. The product of these two matrices 5 2 2 −1  4 −2 1 3  is (Please show your work for full credit.) 2. For what value of a is this determinant equal to 0? 0 5 2 0 1 −8 −4 2 (please justify your answer.) 3. What is the product of these matrices? 3 2 6 −2 1 0 4 1 0   2346  (Please justify your answer.) 4. What is the largest possible number of pivots a 7 × 5 matrix can have? (Please justify your answer.) Homework 1 5. Find the standard matrix of the linear transformation : →  which rotates a point about the origin through an angle of   radians (counterclockwise). True or False (Simply enter T or F, no need to justify the answer) If matrices  and  are row equivalent, they have the same reduced echelon form. In general,  +  ≠  +  (assume  and  are  x  matrices). If a matrix  is symmetric, then so is  + “#. A matrix  must be a square matrix to be invertible. If $%&’( ≠ 0, then columns of  are linearly independent. If an  x  matrix  is equivalent to “#, then )* is also equivalent to “#. If an + x  matrix  has a pivot position in every row, then the equation , = . has a unique solution for each . in /0. If  = “, then  is invertible.

Math 285 Quiz One Name: ________________ 1. The product of these two matrices 5 2 2 −1  4 −2 1 3  is (Please show your work for full credit.) 2. For what value of a is this determinant equal to 0? 0 5 2 0 1 −8 −4 2 (please justify your answer.) 3. What is the product of these matrices? 3 2 6 −2 1 0 4 1 0   2346  (Please justify your answer.) 4. What is the largest possible number of pivots a 7 × 5 matrix can have? (Please justify your answer.) Homework 1 5. Find the standard matrix of the linear transformation : →  which rotates a point about the origin through an angle of   radians (counterclockwise). True or False (Simply enter T or F, no need to justify the answer) If matrices  and  are row equivalent, they have the same reduced echelon form. In general,  +  ≠  +  (assume  and  are  x  matrices). If a matrix  is symmetric, then so is  + “#. A matrix  must be a square matrix to be invertible. If $%&’( ≠ 0, then columns of  are linearly independent. If an  x  matrix  is equivalent to “#, then )* is also equivalent to “#. If an + x  matrix  has a pivot position in every row, then the equation , = . has a unique solution for each . in /0. If  = “, then  is invertible.

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ENGR216: Mechanics and Vibrations Tutorial sheet 1 Michaelmas Term AY 2015/2016 Problems will be solved in class in week 5 PROBLEM 1 A rod of length L, cross-sectional area A1, and modulus of elasticity E1 has been placed inside a tube of the same length L, but of cross-sectional area A2 and modulus of elasticity E2. A force P is applied on a rigid plate attached to both tube and rod, as shown in the sketch below. Determine: a) the horizontal displacement of the rigid plate; b) the fixed support reactions acting on the rod and tube when E1=E2; c) the fixed support reactions acting on the rod and tube when E1=2E2; HINT: deformation of tube and rod is constrained to be the same. PROBLEM 2 A steel beam has a rectangular cross section of height lx=20 mm and width ly=30 mm, and length lz=1 m (lengths lx, ly and lz are measured respectively along x, y and z axes of a Cartesian system). The material of the beam has Young modulus E=200 GPa, Poisson ratio ν=0.29, and maximum allowable normal stress of 175 MPa. The beam is subject to a compressive centric axial load Pz of 80 KN applied at its ends (load acts along z axis). a) State whether the area of the cross section of the beam will increase or decrease under the effect of the applied centric axial load and explain why. b) Determine the variation of the section height lx in mm, indicating if such variation is a contraction or an elongation. c) Determine the maximum axial load (Pz)max applicable to the beam and the maximum shear stress in these conditions. d) In the loading condition (c), state whether the uniformly distributed normal load to be applied on the beam faces normal to the x axis leading to a zero variation of the section height lx is compressive or tensile and justify your answer. e) In the loading condition (c), determine the magnitude of the uniformly distributed normal load to be applied on the beam faces normal to the x axis resulting in zero variation of the section height lx. f) After application of the uniformly distributed normal load, determine the bulk modulus and the beam dilatation indicating its sign. PROBLEM 3 A beam has a constant circular cross section of radius 20 mm, and is subject to a tensile axial load of 4 KN. a) Determine the magnitude of the maximum stress in the cross section when the axial load is applied at the centre of the section. b) In the loading condition (a), state whether a neutral axis exists or not, and explain why. c) State whether the maximum stress in the cross section when the axial load is applied at 10 mm from the centre of the section is compressive or tensile and explain why. d) In the loading condition (c), determine the magnitude of the maximum compressive and tensile stresses in the cross section. e) In the loading condition (c), determine the distance of the neutral axis from the centre of the cross section. PROBLEM 4 Consider a simply supported beam subject to the distributed load sketched below. a) Determine the equations of shear force V(x) and bending-moment M(x); b) plot V(x) and M(x) along the beam axis; c) assuming the cross section is square and has length a , determine the position along the beam where the maximum normal stress occurs and the value of such maximum normal stress; d) determine the position along the beam where the maximum shear stress occurs and the value of such maximum shear stress.

ENGR216: Mechanics and Vibrations Tutorial sheet 1 Michaelmas Term AY 2015/2016 Problems will be solved in class in week 5 PROBLEM 1 A rod of length L, cross-sectional area A1, and modulus of elasticity E1 has been placed inside a tube of the same length L, but of cross-sectional area A2 and modulus of elasticity E2. A force P is applied on a rigid plate attached to both tube and rod, as shown in the sketch below. Determine: a) the horizontal displacement of the rigid plate; b) the fixed support reactions acting on the rod and tube when E1=E2; c) the fixed support reactions acting on the rod and tube when E1=2E2; HINT: deformation of tube and rod is constrained to be the same. PROBLEM 2 A steel beam has a rectangular cross section of height lx=20 mm and width ly=30 mm, and length lz=1 m (lengths lx, ly and lz are measured respectively along x, y and z axes of a Cartesian system). The material of the beam has Young modulus E=200 GPa, Poisson ratio ν=0.29, and maximum allowable normal stress of 175 MPa. The beam is subject to a compressive centric axial load Pz of 80 KN applied at its ends (load acts along z axis). a) State whether the area of the cross section of the beam will increase or decrease under the effect of the applied centric axial load and explain why. b) Determine the variation of the section height lx in mm, indicating if such variation is a contraction or an elongation. c) Determine the maximum axial load (Pz)max applicable to the beam and the maximum shear stress in these conditions. d) In the loading condition (c), state whether the uniformly distributed normal load to be applied on the beam faces normal to the x axis leading to a zero variation of the section height lx is compressive or tensile and justify your answer. e) In the loading condition (c), determine the magnitude of the uniformly distributed normal load to be applied on the beam faces normal to the x axis resulting in zero variation of the section height lx. f) After application of the uniformly distributed normal load, determine the bulk modulus and the beam dilatation indicating its sign. PROBLEM 3 A beam has a constant circular cross section of radius 20 mm, and is subject to a tensile axial load of 4 KN. a) Determine the magnitude of the maximum stress in the cross section when the axial load is applied at the centre of the section. b) In the loading condition (a), state whether a neutral axis exists or not, and explain why. c) State whether the maximum stress in the cross section when the axial load is applied at 10 mm from the centre of the section is compressive or tensile and explain why. d) In the loading condition (c), determine the magnitude of the maximum compressive and tensile stresses in the cross section. e) In the loading condition (c), determine the distance of the neutral axis from the centre of the cross section. PROBLEM 4 Consider a simply supported beam subject to the distributed load sketched below. a) Determine the equations of shear force V(x) and bending-moment M(x); b) plot V(x) and M(x) along the beam axis; c) assuming the cross section is square and has length a , determine the position along the beam where the maximum normal stress occurs and the value of such maximum normal stress; d) determine the position along the beam where the maximum shear stress occurs and the value of such maximum shear stress.

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Homework #8  Consider the veracity or falsehood of each of the following statements. For bonus, argue for those that you believe are true while providing a counterexample for those that you believe are false.  If the first and third rows of A are equal, then det A 0.  If P is a projection, then uCP if and only if Pu  u.  If P is a projection, and detP  0, then P  I .  If A has determinant 10, then 1 A has determinant 1 10 .  If B is invertible, 1 1 det(A B ) det A (detB) .  If P is a projection, and R  2P I , then 2 R  I .  If P is a projection, and P  I , then detP  0 .  Short Computations. All of the following do not involve long computations:  Suppose 1 2 1 5 1 8 A                  and 1 9 2 4 3 1 A                   . Compute 7 13 19 A         .  Compute               0 8 7 1 0 2 3 4 5 3 0 9 2 0 0 0 3 0 0 0 1 9 3 2 0 det .  Use Cramer’s Rule to find 5 x (hint: you do not need your calculator). 1 2 3 4 5 5x 2x 8x x 3x 13 1 3 3x 5x 0 1 3 5 3x 3x 3x 9 1 2 3 5 3x 2x x 2x 7 1 3 x 4x 0 Let A 1 2 3 4 1 3 4 6 2 5 13 15 4 10 15 31 . Given is that det A  61. Do the following:  1 1 2 4 2 3 5 10 3 4 13 15 4 6 15 31 det  det2A  1 3 4 6 2 4 6 8 2 5 13 15 4 10 15 31 det  1 3 4 6 2 5 13 15 4 10 15 31 1 2 3 4 det  Consider the matrix A  0 1 0 0 0 0 1 0 0 0 0 1 1 2 2 1           . Use row (or column) expansion to compute det(xI A) .  The matrix 4 1 1 2 1 1 1 4 1 1 2 1 1 1 4 1 1 2 2 1 1 4 1 1 1 2 1 1 4 1 1 1 2 1 1 4 1 6 P is the projection matrix for the column space of matrix A. This matrix A is also known to be of full rank. Answer the following, giving reasons for your answers.  Find a transparent basis and the dimension for the column space of P.  Find a basis and the dimension for the column space of A .  What size is the matrix A ?  Find a transparent basis and the dimension for the null space of P.  Find a transparent basis and the dimension for the row space of P.  Find a basis and the dimension for the null space of A.  For which of the following b can you find a solution to the system Ax b ? This does not mean you should find a solution, only whether one could or not. 10 17 19 14 10 17 19 14 13 10 17 19 14 13 23 1 1 1 1 1 1 .  It is known that certain vector u is a solution to the system Ax c . Give all solutions to Ax c .  It is also known that 1 2 3 4 5 6 Ax does not have a solution. How would you change the constant vector so that there would be a solution? Extra Problems.  Fill in the blank with the best possible expression to complete the sentence truthfully. Only that one will be counted correct. 1. matrix with two equal columns will have zero determinant. 1 2 3 Some Every No 2. If A is invertible, then A commute with its inverse. 1 2 3 must always can will not 3. If A is 6  9 , then the columns of A be linearly independent. While in AT , the columns be linearly independent. 1 2 3 can have to cannot 4. Let A be square, and suppose Ax  0 has a nontrivial solution. Then detA equal 0. 1 2 3 may cannot must 5. Let A and B be 3 3. Then det (AB) equal det(A)det(B) . 1 2 3 could must couldn’t 6. Let A be square and suppose detA  0. Then have an inverse 1 2 3 will not may must always 7. Let A and B be 2  2 . Then det (A B) equal det(A)  det(B) . 1 2 3 could must could not 8. exist a 6  6 matrix all of whose entries are whole numbers and its determinant is 2 5 . 1 2 3 There does There does not There might Bonus: Consider the matrix 0 0 1 0 2 0 n 0 . Give its determinant as a function of n.

Homework #8  Consider the veracity or falsehood of each of the following statements. For bonus, argue for those that you believe are true while providing a counterexample for those that you believe are false.  If the first and third rows of A are equal, then det A 0.  If P is a projection, then uCP if and only if Pu  u.  If P is a projection, and detP  0, then P  I .  If A has determinant 10, then 1 A has determinant 1 10 .  If B is invertible, 1 1 det(A B ) det A (detB) .  If P is a projection, and R  2P I , then 2 R  I .  If P is a projection, and P  I , then detP  0 .  Short Computations. All of the following do not involve long computations:  Suppose 1 2 1 5 1 8 A                  and 1 9 2 4 3 1 A                   . Compute 7 13 19 A         .  Compute               0 8 7 1 0 2 3 4 5 3 0 9 2 0 0 0 3 0 0 0 1 9 3 2 0 det .  Use Cramer’s Rule to find 5 x (hint: you do not need your calculator). 1 2 3 4 5 5x 2x 8x x 3x 13 1 3 3x 5x 0 1 3 5 3x 3x 3x 9 1 2 3 5 3x 2x x 2x 7 1 3 x 4x 0 Let A 1 2 3 4 1 3 4 6 2 5 13 15 4 10 15 31 . Given is that det A  61. Do the following:  1 1 2 4 2 3 5 10 3 4 13 15 4 6 15 31 det  det2A  1 3 4 6 2 4 6 8 2 5 13 15 4 10 15 31 det  1 3 4 6 2 5 13 15 4 10 15 31 1 2 3 4 det  Consider the matrix A  0 1 0 0 0 0 1 0 0 0 0 1 1 2 2 1           . Use row (or column) expansion to compute det(xI A) .  The matrix 4 1 1 2 1 1 1 4 1 1 2 1 1 1 4 1 1 2 2 1 1 4 1 1 1 2 1 1 4 1 1 1 2 1 1 4 1 6 P is the projection matrix for the column space of matrix A. This matrix A is also known to be of full rank. Answer the following, giving reasons for your answers.  Find a transparent basis and the dimension for the column space of P.  Find a basis and the dimension for the column space of A .  What size is the matrix A ?  Find a transparent basis and the dimension for the null space of P.  Find a transparent basis and the dimension for the row space of P.  Find a basis and the dimension for the null space of A.  For which of the following b can you find a solution to the system Ax b ? This does not mean you should find a solution, only whether one could or not. 10 17 19 14 10 17 19 14 13 10 17 19 14 13 23 1 1 1 1 1 1 .  It is known that certain vector u is a solution to the system Ax c . Give all solutions to Ax c .  It is also known that 1 2 3 4 5 6 Ax does not have a solution. How would you change the constant vector so that there would be a solution? Extra Problems.  Fill in the blank with the best possible expression to complete the sentence truthfully. Only that one will be counted correct. 1. matrix with two equal columns will have zero determinant. 1 2 3 Some Every No 2. If A is invertible, then A commute with its inverse. 1 2 3 must always can will not 3. If A is 6  9 , then the columns of A be linearly independent. While in AT , the columns be linearly independent. 1 2 3 can have to cannot 4. Let A be square, and suppose Ax  0 has a nontrivial solution. Then detA equal 0. 1 2 3 may cannot must 5. Let A and B be 3 3. Then det (AB) equal det(A)det(B) . 1 2 3 could must couldn’t 6. Let A be square and suppose detA  0. Then have an inverse 1 2 3 will not may must always 7. Let A and B be 2  2 . Then det (A B) equal det(A)  det(B) . 1 2 3 could must could not 8. exist a 6  6 matrix all of whose entries are whole numbers and its determinant is 2 5 . 1 2 3 There does There does not There might Bonus: Consider the matrix 0 0 1 0 2 0 n 0 . Give its determinant as a function of n.

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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?

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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Problem 1. A particle confined to a one-dimensional infinite square well [0<x<a] is in the n=3 state. Calculate the probability that the particle will be observed within the first quarter, that is, within the interval [0,a/4]. Express your answer as a decimal value to 4 significant figures.

Problem 1. A particle confined to a one-dimensional infinite square well [0

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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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