Question

Using DeMoivre's theorem, calculate z^4, when z = 1 - i.

Using DeMoivre's theorem, calculate z^4, when z = 1 - i.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate the flux of F⃗ = (19x + y)⃗i + (20y + z) ⃗j + (21z...
Calculate the flux of F⃗ = (19x + y)⃗i + (20y + z) ⃗j + (21z + x) ⃗k out of the sphere of radius 11, centered at the origin, by using the Divergence Theorem.
Using the hyperbolic angle sum theorem, prove theorem 1. theorem 1 (the exterior angle inequality theorem):...
Using the hyperbolic angle sum theorem, prove theorem 1. theorem 1 (the exterior angle inequality theorem): An exterior angle of a triangle is greater than each of the remote/nonadjacent interior angles of the triangle. hyperbolic angle sum theorem: The sum of the measures of the angles of a hyperbolic triangle is less than 180°. Please give an original answer, the explanations already posted on Chegg do not answer this question or do not answer in a language that I understand...
?(?) = 4? / 1 + ?2 A. Using the Mean Value Theorem, show that there...
?(?) = 4? / 1 + ?2 A. Using the Mean Value Theorem, show that there is a ? ∈ (0, 1), such that ? ′ (?) = 2 B. Then determine the value of ? in (0, 1) such that ? ′ (?) = 2
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = ey tan(z)i + y 3 − x2 j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 − x4 − y4, −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i...
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.
The complex function f(z) = 1/(z^4 - 1) has poles at +-1 and +-i, which may...
The complex function f(z) = 1/(z^4 - 1) has poles at +-1 and +-i, which may or may not contribute to the closed curve integral around C of f(z)dz. In turn, the closed curve C that you use depends on the 2nd letter of your first name! Specifically, convert that letter to its numerical position in the Roman alphabet (A=1, B=2, ..., Z=26), then divide by 4. Don't worry about fractions, just save the REMAINDER which will be an integer...
10.) (23 pts.) Verify the Divergence Theorem for P(x, y, z) = (y) i+ (—x) j...
10.) (23 pts.) Verify the Divergence Theorem for P(x, y, z) = (y) i+ (—x) j + (—xz) k , where the solid D is enclosed by the paraboloid z = x^2 + y^2 and the plane z = 1.
Prove Fermat’s Little Theorem using induction: ap ≡ a (mod p) for any a ∈Z.
Prove Fermat’s Little Theorem using induction: ap ≡ a (mod p) for any a ∈Z.
Prove Theorem 29.10. Let n ∈ Z+. If Ai is countable for all i = 1,2,...,n,...
Prove Theorem 29.10. Let n ∈ Z+. If Ai is countable for all i = 1,2,...,n, then A1 ×A2 ×···×An is countable.
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = exsin(y) i + excos(y) j + yz2k, S is the surface of the box bounded by the planes x = 0, x = 3, y = 0, y = 1,