1 2 NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program,...
can I get details pls Find all solutions to the equation x' +27 = 0 over the Complex Numbers. Do all parts (a)-(d): (a) Graph complex number -27+0.i as a vector in trigonometric form (b) Use De Moivre's Theorem to find one cube root of -27 (c) Graph all three solutions as vectors (in trigonometric form) on the xy-plane (d) Lastly, convert each solution from trigonometric form reise to standard form a +bi
QUESTION 7. [7] Find all solutions to the equation cosh z = i. Express your answer(s) in rectangular (cartesian) form and make a neat sketch showing where the solutions lie in the complex plane. It is acceptable, but not necessary, to consider this exercise as finding and plotting all values of cosh-li.
Let z=6+6 \sqrt{3} i.(a) Graph z in the complex plane. (b) Write z in polar form.(c) Find the complex number z9. (Enter your answer in a+bi form.) z9=
11. [-/1 Points] DETAILS MY NOTES Find the volume of the region between the graph of f(x, y) = 81 – x2 - y2 and the xy plane. Submit Answer 12. [-/1 Points] DETAILS MY NOTES Find the volume of an ice cream cone bounded by the hemisphere z = V 50 - x2 y2 and the cone z = V + y2.
Problem 3 Use series expansion to find the slope of the following function at 0. f(x) = V2 + x - V2 - x Problem 5 Solve the equation in the complex space: z-i|z| = Re{z} and represent the solution in the complex plane. Problem 6 What is the locus of points that satisfy the following equation in the complex plane Re[7z - 8z* – 31m{z} + z2 + zz*] = 0
please solve this question showing all the steps clearly Question 1) (3 marks) Sketch the region of integration on the x- y plane and find the volume of the region R in the first quadrant, bounded between followings: From above by Vy? +1 and from below by the lines: x = 0, y = 1, y = Vx.
Answer showing the details 11. Write instructions in assembly language to set all PORTC as output and turn on alternate pins of PORTC I D Answer showing the details 11. Write instructions in assembly language to set all PORTC as output and turn on alternate pins of PORTC I D
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the...
Please Solve As soon as Solve quickly I get you thumbs up directly Thank's Abdul-Rahim Taysir 1 point possible (graded, results hidden) If z = x + iy is a complex number, then 12 +3| + |2 – 31 = 10 will actually represent a/an. Parabola Ellipse Hyperbola Circle Given the following region of space in the complex plane 2 – 4] > [z], What options underneath best describe the region of space that is being occupied in the complex...