2. Let A =3+ j4 and B=10e-j120° Evaluate each of the following expressions, and write the answer in both rectangular an...
Simplify each of the following expressions into a single complex number. Provide your answer in each of the following 3 forms: 2. · Rectangular form, ie. z=a+jb .Polar form, i.e. Iz]Zz Complex exponential form, i.e. Izlelz e) 10e/30' + 20e/6" f) 8e/15°+ (10e-j30。)/(2+j).
Given the following A 3e-31 B For parts a to c do the problems by hand and show vour work. For part d verify your work with MATLAB a) Find B and D in both rectangular and exponential form (please note b) Using the rectangular forms do the following A-B C+d, then find c) Use the exponential forms in part a and do AC and AB/D find the results d) Use MATLAB to check your answers for each part and...
11. Evaluate each of the following expressions: a. 4*3/6-4+ Math.pow(7,2) b. (3+4)*7-3 c. 9*2/4+5%3+3 d. 55 55
(b) Evaluate the following C++ expressions and show in the boxes under the operators the of evaluation of the corresponding operations. [2.5 points each): Expression Value 7 / 2 != 6 / 2 && 9 <3 * 7 2 + 3 + 4 / 2 6 + 8% 3 abs (4 7) + 3 / 2 * pow (5.0,2)
2. Matrix A = Matrix B = log(A) Write MATLAB expressions to do the following. Evaluate the sum of the first row of B Evaluate the maximum value in the vector resulting from element-by-element multiplication of the first column of B with the third column of A. Use element-by-element division to divide the third row of A by the first three elements of the second column of B and evaluate the sum of the elements of the resulting vector.
7. Let A, B, and C be three events. Write out expressions for the following events in terms of A, B, and C, using set notation. (a) A occurs but neither B nor C occurs. 0-inni-mn u (b) A and B occur, but not C (c) A or B occurs, but not C. (d) None of A, B, and C occurs. (e) A, B, or C occurs.
1· (1 point each) Given the array defined below, evaluate each of the expressions and write their value in the space provided. If the expression will cause an error, write "ERROR" in the space instead. Note that each expression is independent. They do not build on each other, so each should be applied to the original array as shown here: int [ ] numbers = {7, 15, 13, 10): a. numbers[O] b. numbers[2] c. numbers[1 + 2] d. numbers[4] e....
1. (3% each) Given the following declarations: int a-4 int b-6: float5.0 Evaluate the following Java expressions: a) (5 + a / b) % 2- b) c / (10 % b) C) 5 * 300 7 + 8 / 3-6
Regular expressions, DFA, NFA, grammars, languages Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
Problem 1: Consider the following complex numbers: Z1 = 2 + j4 Z2 = 5e3 a) Write zi in polar form b) Write ze in rectangular form c) Plot the product of zı & z2 in the complex plane with x(0) = 0.3 Problem 2: Consider the system: dx/dt = -3x a) Solve the initial value problem b) Plot the resulting function