10p Find complex numbers t = Z1 + Z2 and s-Z1-72, both in polar form, for each of the following pairs 3, b. Z1 3<30° and Z2 3-150
Question 3.1 (10 marks) Consider the two complex numbers-V3+i and 2 3 cis(-/3) a) Write 1V3+i in polar form, in terms of its principal argument. b) Use your answer in a) to evaluate z1/21 in polar form, and then convert that into cartesian form. c) Using their polar forms, determine z122 and z2/句in terms of their principal argument. d) Determine (22)2 in polar form, in terms of its principal argument. e) Determine all distinct values of (22)1/3 in polar form,...
Write 21 and 22 in polar form. 21 = 5 + 5i, z2 = 16 Z1 = x 22 = x Find the product 2122 and the quotients 1 and 1 (Express your answers in polar form.) Z2 2122 x 21 22 1 21 = X
Use z1=4(cos7π/12 + i sin7π/12) z2=9(cos5π/12 + i sin5π/12) a) Find z1z2. Leave in polar form b) Find z1/z2. Leave in polar form.
-/5 points Trig2 5.3.061. in radians. Let ose < 2.) Write 21 and 22 in polar form. (Express z = √3+1, 32= 1 + √3i 1 = Find the product z122 and the quotients and (Express your answers in polar form with expressed in radians.) Z1 Z2 = Need Help? Read it Watch it
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
Find the product z1z2 and the quotient 21. Express your answers in polar form. 22 21 = 5 cos = 5(cos(1) + i sin()). 22 = 8(cos(65) + i sin (75)) 2122 = Z1 Z2
Let Z! = 3H4, Z2-5-2, Z,--3-12, Z4--10-j6, and Z5--6-3. 1. Calculate Z1 + Z2 in rectangular form. 2. Calculate Z1 - Z2 in rectangular form. 3. Calculate Z3 + Z4 in polar form. 4. Calculate Za - Z5 in polar form. 5. Calculate Z1Z2-Z3 in rectangular form. 6. Find ZsZ7 in polar form. 7. Find Z7Zs in rectangular form. 8. Find ZsZs+Z7 in rectangular form Reduce the following to rectangular form. 10. Z1/Z2
11:50 PM Sat May 18 OSPCLcOR0500149 a. Write the complex number in polar form 1 1 2 2 cis) cis) cis b. Convert the complex number from polar to rectangular form. 2 = 3cis 2x 3 SS-1 o -3-33 try
Find the following product, and write the product in rectangular form. (52 cis 30°) (1/2 cis 60°) (v2 cis 30°) (72 cis 60°) - 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a +bi)