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)
1. Find in the form x + iy showing details (e) (3 + 4i)^(1/2) (f) (...
1. Simply the following in the form x + iy (a) 3-3i)-4+3i) (-1-1) (b) 3-3i)(-4+3i) (1-)(41 (c) 3-3i)4+(-4+3i)2 (1-i)4(4i)3
1. Write f(z) in the form f(x) = u(x, y) +iv(x, y). (a) f(x) = 23+2+1 (b) f(3) = 2,270. Suppose f(z) = x2 - y2 - 2y +i (2x - 2xy), where z = x + iy, and express () in terms of .
#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...
Please read the question thoroughly and show all your work, please. 2. Let z1=4+4i, z2=-5-5i. Find the trig form of z1 and 22. Then, find 21/22 and 2122
Perform the calculation (8i)3-(8i)2+8i-1. Give your answer in Cartesian form z=x+iy.
Question 3 Consider the set E consisting of all quadratic polynomials of the form f(x) =ax2 + b, where a,b ER. Let g(x) = x + 3. Find the polynomial fe e such that the distance between (f(0), f(1), f(2)) and (g(0), g(1), g(2) is minimized. What is f(1)? (Computational Check: The sum of the numerator and denominator of f(1) is 61).
31. [-/1 Points) DETAILS SCALCET8 3.3.027. If f(x) = 5 sec(x) - 3x, find f'(x). f'(x) = Need Help? Read It Watch It Talk to a Tutor 32. [-/2 points) DETAILS SCALCET8 3.3.028. If f(x) = 20% cos(x), find f '(x) and F"(x). F'(x) = F"(x) = Need Help? Read it Talk to a Tutor 33. [-/2 Points) DETAILS SCALCET8 3.3.029 If H() = sin(e), find Hle) and H) HO) = HD) -
3 seperate questions multiple choice Write the number in standard form: (3 - 4i) - (2 - 51). 5 + 9i 1 + i 1 - 9i 5+ i 6 Calculate in standard form. Obi O-i 0-1 1 Calculate (6+2i)i in standard form. 0-2 – 6i O2 - 6i 0-2 + 6i O2 + 6
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
[-/1 Points] DETAILS GHCOLALG12 3.4.072. 1 Let F(x) = 1 X - 3 and g(x) = Determine the domain of the composite function. (Enter your answer using interval notation.) X-4 gof Find the composite function. (gon(x) =