## Question

###### Compute the following problems using Math Lab. Instructions: Answer All Questions using MATLAB commands. Question 1....

Compute the following problems using Math Lab.

Instructions: Answer All Questions using MATLAB commands. Question 1. Create a vector of the even whole numbers between 31 and 75. Question 2. Let x [2516] a. Add 16 to each element b. Add 3 to just the odd-index elcments c. Compute the square root of each element d. Compute the square of each element Question 3. Let x 13 268T and y [4 1 3 5] (NB. x and y should be column vectors) a. Add the sum of the elements in x to y b. Raise cach element of x to the power specified by the corresponding element in y c. Divide each element of y by the corresponding element in x d. Multiply each element in x by the corresponding element in y, calling the result "z" f. Compute x *y - w and interpret the result e. Add up the elements in z and assign the result to a variable called "w" Question 4. Evaluate the following MATLAB expressions by hand and use MATLAB to check the answers a. 2/2 *3 b. 6-2/5+72-1 c. 10/215-3+2 4 d. 342/4 e, 3^2^2 f. 2+ round (6/9+32)/2-3 g. 2floor (6/9+3 2)/2-3 h. 2+ceil (6/9+3* 2)/2-3 Question 5. Create a vector x with the elements... b. 10, 8, 6, 4, 2, 0, -2,-4 d. 0, 1/2, 2/3, 3/4, 4/5, Question 6. Create a vector x with the elements, X)(2n-1) Add up the elements of the vcrsion of this vector that has 100 elements. Question 7. Write down the MATLAB expression(s) that will a.... compute the length of the hypotenuse of a right triangle given the lengths of the other two sides (try to do this for a vector of sidc-length values)

b.... compute the length of the third side of a triangle given the lengths of the other two sides, given the cosine rule c- a +b'- 2(a)*(b) cos(t) where t is the included angle between the given sides. Question 8. Given a vector, t, of length n, write down the MATLAB expressions that will correctly compute the following: a. In (2 +t2) b. e( cos(3t)) c. cos2 (t)+ sin2(t) d. tan (this is the inverse tangent function) e. cot (t) f. sec (t)+cot(t) 1 Test that your solution works for 1:02: 2 Question 9. Plot the functions x, x3, e and c2 over the interval 0<x <4... Question 10. Make a good plot (i.e., a non-choppy plot) of the function F(x)-sin(1/x) for 0.01 x 0.1. Explain how you created 'x' so that the plot looked good?

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