Engineering Analysis Homework -
For every problem, provide The MATLAB script/function files that solve the problems.
Problem 1: Write a script that solves the problem. For (c), show results of the evaluation of every individual operator (= + >= > /) in the order of their evaluation.
Given: a = 6, b =2, c = -5. Evaluate the following expressions without using MATLAB. Check the answer with MATLAB.
(a) y = a + b > a - b < c
(b) y = -6 < c < -2
(c) y = b + c > = c > a/b
(d) y = a + c == ∼(c+a ∼= a/b-b)
Problem 2: Write a script that solves the problem. For (d), show results of every individual operator (|- & ~* - |) in the order of their evaluation.
Evaluate the following expressions without using MATLAB. Check the answer with MATLAB.
(a) 0&21
(b) ∼-2 >-1&11>=∼0
(c) 4-7/2&6<5|-3
(d) 3|-1&-2*-3|0
Problem 3: Write a function that solves the problem. This function should have one input argument (x) and two output arguments (P and N)
A vector is given by x = [-3.5 -5 6.2 11 0 8.1 -9 0 3 -1 3 2.5]. Using conditional statements and loops, write a program that creates two vectors from x-one (call it .P) that contains the positive elements of x, and a second (call it N) that contains the negative elements of x. In both P and N, the elements are in the same order as in x.
Problem 4: Write a script that solves problem - The maximum daily temperature (in oF) for Chicago and San Francisco during the month of August 2009 are given in the vectors below (data from the U.S. National Oceanic and Atmospheric Administration).
TCH = [75 79 86 86 79 81 73 89 91 86 81 82 86 88 89 90 82 84 81 79 73 69 73 79 82 72 66 71 69 66 66]
TSF = [69 68 70 73 72 71 69 76 85 87 74 84 76 68 79 75 68 68 73 72 79 68 68 69 71 70 89 95 90 66 69]
Write a program in a script file to answer the following:
(a) Calculate the average temperature for the month in each city.
(b) How many days was the temperature above the average in each city?
(c) How many days, and on which dates in the month, was the temperature in San Francisco lower than the temperature in Chicago?
(d) How many days, and on which dates in the month, was the temperature the same in both cities?
Problem 5: Write a function that solves problem with single input parameter m. Perform calculations with this function as requested.
Write a program (using a loop) that determines the expression:
√(12)n=0∑m(-1/3)n/(2n+1)
Run the program with m = 5, m = 10, and in = 20. Compare the result with π. (Use format long.)