16. Given complex numbers 21 = 3 – 7i and z2 = -1+9i, find the absolute...
find the following quotient. write your answer in standard form for complex numbers. 5+2i/3+7i
please use complex conjugate to find 21 = 2 + 3i, z2 = 5 – 4i, please use complex conjugate to find 2 = ? 21 = -4+ 21, z2 = 5 – 3i, 72 = ? 21 = –4 + 2i, z2 = 5 – 3i, 21 – 21 = ? + 21 = -4 + 2i, z2 = 5 – 3i, 2171 = ?
21 Find the quotient 22 of the complex numbers. Leave your answer in polar form. 1 2 =${cos + i sin Z2 = COS i sin 10 10 21 22 (Simplify your answer. Use integers or fractions for any numbers in the expression. Type =
Problem 4. (5 points each question). Given two complex numbers Zi and Z2 in the polar form. Find the result of operation Zi+Z2 and express it in the polar form. 1. Zi= 17 2 20; Z2 = 132 -80; ZI+Z2 2. Zi 64 2 105; Z2 = 772 -150 Zi+Z2 =
4.9. For the complex numbers z2+j3 and z2-1 -j6, show the following:
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
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
3) Find the absolute maximum and absolute minimum values of x2 Y2 2x2 Зу? - 4x - 5 on the region 25 + + 2Y2 Show that the surfaces 3X2 Z2 4) 9 and x2 Y2Z - 8X - 6Y - 8Z + 24 0 have a common tangent plane at the point (1, 1, 2) Find the maximum and minimum values that 3x - y 3z attains on the intersection of the surfaces x + y 5) 2z2 1...
complex analysis 2. Find the absolute values of - 2i(3 + 1)(2+41) (1 + 1) and and (3 + 4i)(-1 + 21) (-1 - 0) (3 - 1)
1) 2) Find the absolute value of the complex number. 12 - 9 Convert the given polar equation to a Cartesian equation. -6 r= 4 cos(O) + sin(0)