1. Simply the following in the form x + iy (a) 3-3i)-4+3i) (-1-1) (b) 3-3i)(-4+3i) (1-)(41...
1. Find in the form x + iy showing details (e) (3 + 4i)^(1/2) (f) ( 1/2 + i√ 3 / 2 )^4 (g) −4+19i / (2+5i)
s -3 +4i s 4+3i 1+0.707 1 b) What is the gain, K, associated with that point? Ans: Problem 3: A system is characterized by the following differential equation: If the input is x sinSt, use the frequency response method to determine the steady-state response of the output, yss(t). In showing your work, clearly identify expressions for G(s) Y(s)/X(s), G(jo), [G(jo) l and ф(co). s -3 +4i s 4+3i 1+0.707 1 b) What is the gain, K, associated with that...
The position vector rab that goes from A to B is (in Cartesian form): -- ift 2 4ft X -- (41 +83 - 3k) ft (0.424i +0.848 -0.318k) ft (-3i+ 8j - 3k) ft (-4i-8j +3k) ft
Question 3 (a) Write the following complex numbers z + iy in polar form z+ iy re giving the angle θ as the sum of its principal argument, (chosen to lie in-r < θ,-r) and an integer multiple of 2π. That is, write θ as θ θp + 2km where k-0, 1, 2, +2Tk +2T k +2T (b) Compute all three values of i1/S and write your answers in the form a + iy.
(8) Complex mumbers. Multiply (4-3i)? and write your answer in standard form a +bi Start: (4-3i)? =(4-3i)(4-3i) FOIL and remember i? = -1
(8) Complex mumbers. Multiply (4-3i)? and write your answer in standard form a +bi Start: (4-3i)? =(4-3i)(4-3i) FOIL and remember i? = -1
Perform the indicated operation and write the answer in the form a +bi, where a and b are real numbers. 28) (6-5i)(7 +3i) A) -15;2 - 171 +42 B) 57 - 171 C) 27 - 531 D) 57 +171 Write the quotient in the form a +bi. 9 +41 29) 2-4i B) -1.4, C) -1 5 Use De Moivre's theorem to simplify the expression. Write the answer in a +bi form. 30) (3 (cos 120° + i sin 120°))4 A)...
a charge of 2 coulombs is placed at the position 3i+2j-k and a charge of 3 coulombs is place at a position of 4i-2j+3k find the force between two charges? The force should be i the vector form.
#1,5,9 and #13,17,21,25 please. In Exercises 1-12, graph each complex number in the complex plane 3. -2 4i 2 2. 3 5i 7.-3i 8.-5i 6. 7 47 19 7 15 2 11 2 12. 10 10 each complex number in polar form 15. 1 V3i 14. 2 + 2i 16. -3- V3i 3. 1-i 20. -V3+i 18. V5_V5İ 19. V3-3i 17-44i 24. -8-8V3i 22. 2 + Oi 2 23, 2v3-2i 21. 3 +0i V3 1 1 V3 28·16+161 26, 1...
Initials Given the following vectors A and B, A = 4i + 7j B-3i-6j, find the magnitude and direction for vector C- 5A-2B