4. Let = || (cos 0+isin) € C be any complex number. The following formula: 0+2km 9+2km), k= 0, 1, 2,..., n-1 VET (COS cos 11 +isin- gives the n nth roots of : in C. Use it to solve each of the following equations. (a) =5+32=0 (c) w³=i (b) w = (-1+i) (d) 5+²=0

Q: イーコ oa

A:

Q: Write the logarithmic equation as an exponential equation log_(b)(z)=m.

A:

Q: There are: • four highways from city A to city B, • two highways from city B to city C, and • five…

A:

Q: · y(x + y)dx + (x + 2y 1)ay (determination of integrating factor)

A:

Q: Find the sum of the first 4 terms of the sequence. The formula for the sum of the sequence is given…

A:

Q: $$ 4323 10 • 8 7 1 44 2 3 + -10 2 (larger x-value) 3 solution set is bounded. is ---Select--- . 6…

A:

Q: Suppose that q 1 is a constant. Calculate the sum n Sn = kqk = q + 2q² + 3q³ +…+nq” k=1

A:

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

A: In y = A sin(B(x + C)) + D Amplitude=A Period=2πB Phase shift=C Given y=13sin(3x-π2)=13sin(3(x-π6)…

Q: Q7 Fill in the Blank a. This is the arm of the angle that lies along the positive x- axis. b. The…

A:

Q: A credit card company tracks how long it takes for new account holders to activate their credit…

A: Mean of the probability

Q: Prove that the rotation A = BCD. D = R₂ (-4), C = R₂ (−0), and B = R₂ (−4) cosp D = -sin 0 = sino 0…

A:

Q: 1. The plane 3x-3y - 2 = 4 intersects the paraboloid z = x² + y² in an ellipse. Use the method of…

A:

Q: Let the nth term of the series be (−1)” (n+1)* then the series is n a) convergent b) divergent c)…

A:

Q: Find the equation of the tangent line to f(x) at the given point a. f(x) = 3x² - 12x + 1 at the…

A:

Q: Find the center of mass and the moment of inertia about the y-axis for a thin rectangular plate cut…

A: Formula for center of mass :                           x¯ = ∫x dmm  and  y¯ = ∫y dmm    From…

Q: Antisymmetric matrix A is a matrix such that its entries satisfy AT--A that is, Au-Ag for all i,5.…

A:

Q: how that the given set V is closed under addition and multiplication by scalars and is therefore a…

A:

Q: Problem 6 . Let p be a prime of the form 4k+ 1 such that p = m² +n², where m and n are integers and…

A: As per the question we are given a prime number p of the form 4k+1 such that : p = m2 + n2 Where m ∈…

Q: y=x^(2)+10x+21 Plot five points on the pars button.

A: Solution:

Q: A contour map is shown for a function f on the square R = [0, 2] x [0, 2]. y 2 1 10 1 50 60 70 50 60…

A:

Q: 4. Write a, ß as products of disjoint cycles 5. Write a, ß as products of 2-cycles

A:

Q: K Find the future value of the loan. Assume 365 days in a year. $8436 at 5.48% annual simple…

A:

Q: 1 Exercise 7.1.7: Determine the Taylor series and its radius of convergence of 1 + x around xo = 0.

A: By Taylor series of f(x) around x=a is;…

Q: 2. List an irreducible polynomial of degree 3 over Z3. 3. List all irreducible polynomials of degree…

A:

Q: 3. Evaluate the integral //= F.dS, dS outwards With F(x, y, z) = (0, 1, x ),where S is the surface…

A: Surface integral using Gauss divergence theorem

Q: The population of Alabama is about 4.4 million. They have a growth rate of 0.4% a year. What will be…

A: The population of Alabama is about 4.4 million.  Growth rate of the population is 0.4% per year.…

Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

A:

Q: 12x + 10 = 54-10x

A:

Q: Graph the system of inequalities: ist the corner points of the feasible region clockwise starting…

A: Given inequalities are x ≥ 0y ≥ 0y ≤ 1010x + 2y ≤ 60

Q: Complete the following without using Table12.1. (Round the "Total amount" and "Total interest" to…

A:

Q: 9. Let and B 3 = {[B]-[-2]} = B' ={[2¹].[6]} be two ordered bases for R². Find the change of basis…

A:

Q: 7. Let f be analytic in D = {|z| ≤ 1}. Assume that |f(z)| ≤ 1 for |z| = 1. Show that (a) [f" (0)| ≤…

A:

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

A:

Q: dx | at dy dt = 3x - y 9x - 3y

A:

Q: 1. Seatwork S Given : SE = 24 P 1. R 9. How long is PR? 12 4 2. Given PR = X+5 and 5E = 3xtl 2pts a.…

A:

Q: The position vector for a particle moving on a helix is c(t) = (3 cos(t), 2 sin(t), t²). (a) Find…

A: The position vector for particle moving on helix is ct=3cost, 2sint, t2. To find the speed of the…

Q: In Connecticut, auto license plates carry 3 digits followed by 3 letters. (Assume the first digit…

A:

Q: Z₁ = πi for f(z)=p²

A:

Q: Orthonormalize the set as the inner product: where u = 000 using the Gram-Schmidt process and the…

A:

Q: Find the critical point of f(x, y) = x²ye (¹+497¹). Do this by setting != -(x² + 49y) and optimizing…

A:

Q: Find the sum of the first 7 terms of the sequence. The formula for the sum of the sequence is given…

A: Given that the formula for the sum of the sequence is sn=n+4n-5.............(1) We have to find the…

Q: of (an [sin(x+y)]/(x+y) be made continous by defining it at (0,0)? b. Can be made continous by suit…

A:

Q: Determine the size of the matrix. 2 -1 -1 1 -6 2 0 1 -5 -3 -1 1 3 4 0 1 X

A:

Q: A - 500 € est f(t)dt = lim [² e-st f(t). A→∞ Jo cify the domains of the Laplace trans

A:

Q: 55. A function f is called homogeneous of degree n if it satisfies the equation CHAPTER 14 Partial…

A:

Q: Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the…

A: Firstly we check where is function singular point .. Then we put y,y' and y'' values in summation…

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: Do you know what a palindrome is? It is a word or phrase with the same spelling when written forward…

A: To Find the distinct arrangements of the letters in the word REDIVIDER.

Q: 1(42). M = "+ x/F + 78 +1=24 S

A: According to answering guidlines we are doing first question if one or more question given

Q: Use the laplace transform to solve the given initial value problem; y(4) - y = 0; y(0) = 1,…

A: We have to solve the given initial value problem by Laplace transform.