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Question 2 (15 points) (a) Find all the roots of the quadratic equation 2.2 - 2.2...
1(a) Find the square roots of the complex number z -3 + j4, expressing your answer in the form a + jb. Hence find the roots for the quadratic equation: x2-x(1- 0 giving your answer in the form p+ q where p is a real number and q is a complex number. I7 marks] (b) Express: 3 + in the form ω-reje (r> 0, 0 which o is real and positive. θ < 2π). Hence find the smallest value of...
4. (15 points) Find all the complex solutions of the equation +(V3-3i)(1+2)40. Express the results in Cartesian form (you may express your answer as a function of k, eg. z = eik cos (kπ/2) + isin(kn/2), k = 0, 1, 2, 3, without explicitly evaluating the expression for each k). 2- 4. (15 points) Find all the complex solutions of the equation +(V3-3i)(1+2)40. Express the results in Cartesian form (you may express your answer as a function of k, eg....
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.
use 5 digits pls thx 2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve z"2-(1-31) -22+31 #0 z 3. (Complez Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find approximations of all seven roots of degree seven of the complex number and show them on the complex plane (approximations of the real and imaginary parts of all the roots must...
find all complex roots of w=125(cos150+i sin150) write the roots in polar form Find all the complex cube roots of w=125( cos 150° + i sin 150°). Write the roots in polar form with in degrees. zo= cos 1°+ i sin º) (Type answers in degrees. Simplify your answer.) z = cos 1° + i sin º) (Type answers in degrees. Simplify your answer.) 22- cosº + i sin º) (Type answers in degrees. Simplify your answer.) Enter your answer...
1) Convert the following polar equation of r=2sintheta into rectangular form. 2) List and find all of the sixth roots of 4.
NAME: Q1. (30pts) Solve the quadratic equation 22- (8+ i)z + 17+ i = 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos+ i sin ) of A and the 'first' root ( cos isin 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program,...
3. Express each of the following in simplified Cartesian form. a) (v2- V60)0 (V2 + V65)25 (b) 21010(-1 +)0(+) 4. Find the complex number z, in Cartesian form, such that it satisfies the equation 5. Find all solutions of the equation r 160 Express any complex solutions in Cartesian form, simplified as much as possible.
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, make sure...
NAME: Q1. (30pts) Solve the quadratic equation 22-(1-4i)2-9+3i 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos 0 + isin @i of A and the 'first root + isin- cos 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program, make sure that your caleulator...