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- Question : 1P - Make sure you know how to start and quit a MATLAB session. Use MATLAB to make the following calculations, using the values: x 10, y 3. Check the results using a calculator. a. u x y b. v xy c. w x / y d. z sin x e. r 8 sin y f. s 5 sin (2y)
- Question : 2P - Suppose that x 2 and y 5. Use MATLAB to compute the following.
- Question : 3P - Suppose that x 3 and y 4. Use MATLAB to compute the following, and check the results with a calculator.
- Question : 4P - Evaluate the following expressions in MATLAB for the given value of x. Check your answers by hand
- Question : 5P - Assuming that the variables a, b, c, d, and f are scalars, write MATLAB statements to compute and display the following expressions. Test your statements for the values a 1.12, b 2.34, c 0.72, d 0.81, f 19.83.
- Question : 6P - Use MATLAB to calculate a. b. c. Check your answers with a calculator.
- Question : 7P - The volume of a sphere is given by V 4 r3/3, where r is the radius. Use MATLAB to compute the radius of a sphere having a volume 30 percent greater than that of a sphere of radius 5 ft.
- Question : 8P - Suppose that x 7 5i and y 4 3i. Use MATLAB to compute a. x y b. xy c. x/y
- Question : 9P - Use MATLAB to compute the following. Check your answers by hand.
- Question : 10P - Evaluate the following expressions in MATLAB, for the values x 5 8i, y 6 7i. Check your answers by hand. a. u x y b. v xy c. w x/y d. z ex e. f. s xy2
- Question : 11P - The ideal gas law provides one way to estimate the pressure exerted by a gas in a container. The law is More accurate estimates can be made with the van der Waals equation: where the term nb is a correction for the volume of the molecules, and the term an2/V2 is a correction for molecular attractions. The values of a and b depend on the type of gas. The gas constant is R, the absolute temperature is T, the gas volume is V, and the number of gas molecules is indicated by n. If n 1 mol of an ideal gas were confined to a volume of V 22.41 L at 0
- Question : 12P - The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The law is An engineer must design a large natural gas storage tank to be expandable to maintain the pressure constant at 2.2 atmospheres. In December when the temperature is 4
- Question : 13P - Suppose x takes on the values x 1, 1.2, 1.4, . . . , 5. Use MATLAB to compute the array y that results from the function y 7 sin(4x). Use MATLAB to determine how many elements are in the array y, and the value of the third element in the array y.
- Question : 14P - Use MATLAB to determine how many elements are in the array [sin(-pi/2):0.05:cos(0)]. Use MATLAB to determine the 10th element.
- Question : 15P - Use MATLAB to calculate Check your answers with a calculator.
- Question : 16P - Use MATLAB to calculate a. 6 tan 1(12.5) 4 b. 5 tan [3 sin 1(13/5)] c. 5 ln(7) d. 5 log(7) Check your answers with a calculator
- Question : 17P - The Richter scale is a measure of the intensity of an earthquake. The energy E (in joules) released by the quake is related to the magnitude M on the Richter scale as follows. How much more energy is released by a magnitude 7.3 quake than a 5.5 quake?
- Question : 18P - Use MATLAB to find the roots of 13x3 182x2 184x 2503 0.
- Question : 19P - Use MATLAB to find the roots of the polynomial 36x3 12x2 5x 10.
- Question : 20P - Determine which search path MATLAB uses on your computer. If you use a lab computer as well as a home computer, compare the two search paths. Where will MATLAB look for a user-created M-file on each computer?
- Question : 21P - Use MATLAB to plot the function T 6 ln t 7e0.2t over the interval 1 t 3. Put a title on the plot and properly label the axes. The variable T represents temperature in degrees Celsius; the variable t represents time in minutes.
- Question : 22P - Use MATLAB to plot the functions u 2 log10(60x 1) and v 3 cos(6x) over the interval 0 x 2. Properly label the plot and each curve. The variables u and v represent speed in miles per hour; the variable x represents distance in miles.
- Question : 23P - The Fourier series is a series representation of a periodic function in terms of sines and cosines. The Fourier series representation of the function is Plot on the same graph the function f (x) and its series representation using the four terms shown.
- Question : 24P - A cycloid is the curve described by a point P on the circumference of a circular wheel of radius r rolling along the x axis. The curve is described in parametric form by the equations Use these equations to plot the cycloid for r 10 inches and 0 4
- Question : 25P - Afence around a field is shaped as shown in Figure P25. It consists of a rectangle of length L and width W, and a right triangle that is symmetrical about the central horizontal axis of the rectangle. Suppose the width W is known (in meters), and the enclosed area A is known (in square meters). Write a MATLAB script file in terms of the given variables W and A to determine the length L required so that the enclosed area is A. Also determine the total length of fence required. Test your script for the values W 6 m and A 80 m2
- Question : 26P - The four-sided figure shown in Figure P26 consists of two triangles having a common side a. The law of cosines for the top triangle states that and a similar equation can be written for the bottom triangle. Develop a procedure for computing the length of side c2 if you are given the lengths of sides b1, b2, and c1, and the angles A1 and A2 in degrees. Write a script file to implement this procedure. Test your script using the following values: b1 180 m, b2 165 m, c1 115 m, A1 120
- Question : 27P - Use the MATLAB help facilities to find information about the following topics and symbols: plot, label, cos, cosine, :, and *.
- Question : 28P - Use the MATLAB help facilities to determine what happens if you use the sqrt function with a negative argument.
- Question : 29P - Use the MATLAB help facilities to determine what happens if you use the exp function with an imaginary argument

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