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 w...
Find two square roots for the complex number. Write your answer in standard form. 32-321/3
Find two square roots for the complex number. Write your answer in standard form. -32-321/3
Consider the quadratic form Q(x) xỈ + x2 + x + 4X1X2 + 4x2x3 + 4x3x1. (a) Find the real symmetric matrix A so that Q(X) = XTAX. (b) Find an orthogonal matrix Q so that the change of variables x = Qy transforms the quadratic for Q(x) into one with no cross-product terms, that is, diagonalize the quadratic form (x). Give the transformed quadratic form. (c) Find a vector x of length 1 at which Q(x) is maximized. (d)...
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...
re: 0 of 1 pt 22 of 5.3.59 Find all the complex roots. Write the answer in exponential form. The complex fourth roots of 5+573 i. zo-1 (Simplify your answer. Type an exact answer, using a as needed. Use integers
Question 12 > Find all complex cube roots of 1-i. Give your answers in a + bi form, separated by commas. *** round to 2 decimal places Question Help: Video Written Example Message instructor Submit Question x Question 11 > Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below Calculate (2 + i). Give your answer in a + bi form 512 + i I x Question 10...
1. Find the matrices of x and yif.... (23 marks) 2x - y = and x+2y=[] { 5,). 2. Find matrix C if: G 1-6. 9 (18 marks) 3. Given that: b = -32+4- k c = -91 + 12 - 3k Q =(5,4,0) and P = (-1,4,-3) Find a. The unit vector along the direction of a vector has Q as initial point and P as a terminal point Prove that vector b is parallel to vector ĉ using...
This is a MATLAB question so please answer them with MATLAB steps. Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: use the roots command. 3. Find the global minimum for f(x). Hint: plot f over [0,2] 4. Solve f()P. Hint: plot f and P over [0,21. 5. Find lim,→0+ f(x). Hint: make a vector hi make a table [x + h; f(x + h)]". 6. Find '(In 2)....
A Bernoulli differential equation is one of the form dydx+P(x)y=Q(x)yn. Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y1−n transforms the Bernoulli equation into the linear equation dudx+(1−n)P(x)u=(1−n)Q(x). Use an appropriate substitution to solve the equation y′−5xy=y5x7, and find the solution that satisfies y(1)=1. y(x)=
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,...