In this circuit, V = 10 volts, R = 3,000 ohms, and C = 50 x 10-6 farads. The circuit has a time constant t, which depends on the resistance, R, and the capacitance, C, as t = R x C = 0.15 second. 1. Use a for loop. 2. Use the math library function exp(x) to compute ex. You will need to include the system header file math.h. 3. On Unix you will need –lm in your command line to tell the Linker to search the math library. 4. Use macro definition for all the constants. 5. Format the output so the output looks like the following. The time and voltage should display two digits after the decimal point.

## In this circuit, V = 10 volts, R = 3,000 ohms, and C = 50 x 10-6 farads. The circuit has a time constant t, which depends on the resistance, R, and the capacitance, C, as t = R x C = 0.15 second. 1. Use a for loop. 2. Use the math library function exp(x) to compute ex. You will need to include the system header file math.h. 3. On Unix you will need –lm in your command line to tell the Linker to search the math library. 4. Use macro definition for all the constants. 5. Format the output so the output looks like the following. The time and voltage should display two digits after the decimal point.

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A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost \$3, and the society sells an average of 20 feeders per week at a price of \$7 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses 2 sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x be the price per feeder.) P(x) = (b) What price should the society charge for each feeder to maximize profits? \$ What is the maximum weekly profit? \$

## A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost \$3, and the society sells an average of 20 feeders per week at a price of \$7 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses 2 sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x be the price per feeder.) P(x) = (b) What price should the society charge for each feeder to maximize profits? \$ What is the maximum weekly profit? \$

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CIV ENG 280 Computer-based Engineering Analysis Assignment for Lab 5 1. The number of annual precipitation days of one-half of the 50 largest U.S. cities is listed below. Find the mean, mode, median, range, standard deviation and variance of the data. 135 128 78 116 77 111 79 44 97 116 123 88 102 26 82 156 133 107 35 112 98 45 122 125 2. Please go through the steps described in the instruction manual (from page 112 to 136). Your lab report should include the following exercises in the manual. a) Binomial distribution (Page 112) b) Poisson distribution (page 119) c) Normal distribution (page 125) d) t distribution (page 132) 3. A math exam contains 10 multiple-choice questions, each with four choices. Since you have not spent any time preparing the exam, you decided to guess at each question by flipping a coin twice (i.e., two heads for A, head and tail for B, tail and head for C, two tails for D). Let X = the number of questions answered correctly. a) Plot the probability mass function (pmf) of the random variable X. (using the chart type “column”). b) If you have to get at least 5 questions answered correctly to pass the exam, what is the probability that you will pass.

## CIV ENG 280 Computer-based Engineering Analysis Assignment for Lab 5 1. The number of annual precipitation days of one-half of the 50 largest U.S. cities is listed below. Find the mean, mode, median, range, standard deviation and variance of the data. 135 128 78 116 77 111 79 44 97 116 123 88 102 26 82 156 133 107 35 112 98 45 122 125 2. Please go through the steps described in the instruction manual (from page 112 to 136). Your lab report should include the following exercises in the manual. a) Binomial distribution (Page 112) b) Poisson distribution (page 119) c) Normal distribution (page 125) d) t distribution (page 132) 3. A math exam contains 10 multiple-choice questions, each with four choices. Since you have not spent any time preparing the exam, you decided to guess at each question by flipping a coin twice (i.e., two heads for A, head and tail for B, tail and head for C, two tails for D). Let X = the number of questions answered correctly. a) Plot the probability mass function (pmf) of the random variable X. (using the chart type “column”). b) If you have to get at least 5 questions answered correctly to pass the exam, what is the probability that you will pass.

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Extra Credit Due: 11:59pm on Thursday, May 15, 2014 You will receive no credit for items you complete after the assignment is due. Grading Policy A Man Running to Catch a Bus A man is running at speed (much less than the speed of light) to catch a bus already at a stop. At , when he is a distance from the door to the bus, the bus starts moving with the positive acceleration . Use a coordinate system with at the door of the stopped bus. Part A What is , the position of the man as a function of time? Answer symbolically in terms of the variables , , and . Hint 1. Which equation should you use for the man’s speed? Because the man’s speed is constant, you may use . ANSWER: c t = 0 b a x = 0 xman(t) b c t x(t) = x(0) + vt xman(t) = −b + ct