Find all of the 5-th roots of the number z Show all of your working! -√3+i. ==

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Q: 3.10. Rotate the vectors by 30°. X₁ 2 > X₂= [:] -1

A: The complete solution is given below

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A: We use the fact that if gcd(a,p)=1 then a^{p-1}= 1 (mod p)

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A: To prove this statement, it can use the definition of a limit. The statement is essentially saying…

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Q: ing up on this questiona nd its process, what would the solution be if w=1? w=2? These matrices and…

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A: A relation which is reflexive symmetric and transitive.

Q: 3. Change the order of the following integral -f(x,y,z)dzdydx, in order dxdydz. The corresponding…

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A: Length of a curve  x(y) is :

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Q: Find the eigenvalues a) A and eigenvectors for each matrix: [2 b) A= −1 5 -5 B

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Q: Why'd you choose 1/5?

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Q: 27 0 do 2+cos O

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A: Let   be the  vector  space  of   symmetric matrices.Suppose  that Then,               a) Choose .…

Q: (a) f: N→ N where f(n) = √n 1 x² - 5 (b) f: Z→ Z where f(x) = (c) f: R → R where f(n) = [x² x-1 if x…

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Q: Solve the given initial-value problem. d²x dt² + 4x = -2 sin(2t) + 3 cos(2t), x(0) = -1, x'(0) =

A: Here we can use method of separation of symbols to solve the above problem. First we find…

Q: 1. Show that 2! 4! 6! (2n)! ≥ ((n + 1)!)" for ne z+. . ...

A: To prove the inequality  for n∈Z+, we can use mathematical induction.Base Case: Let's check the…

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A: (22)

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Q: Explain how you know this is NOT the graph the reciprocal function of y = (x + 3)4. 0 6

A: Explain how we know that this is NOT the graph the reciprocal function of .

Q: That answer given

A: a) W is not a subspce. Consider the matrix Then both A, B are matrix of rank 2.But, , is of rank 1.

Q: 1. Given the function f(x) = -2x³ + 12x² - 20x + 8,5 Using the Taylor series of order zero, one,…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: 3. Suppose that n is an odd positive integer and write φ(η) a b n with ged(a, b) = 1. Show that the…

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Q: Consider the following maximization problem. Maximize subject to the constraints 5x1 I1 2x1 [ P=…

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