Show that n := e2™i/n is a primitive nth root of unity in C. Verify that (S3 - )? = -3 in C. Verify that (C8 + )? = 2 in C. Verify that (C5 + S$ – S3 – S3)² = 5 in C.

Q: What is the domain of f? (-12,0) (24,4) (-8,4) 24,0) (1.0) (0.-2) -4 L(8.-4) (16,0) (-28,-4) -8

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Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: 5(x-3)<2(3x-1)

A: Obtain the x values that satisfies the given inequality 5(x–3)<2(3x–1).

Q: (-3,9) 12 (6,6) (-2,6) -6,0) -2 (0,-3) 9- (2,-6) -6 -4 2. (4,0) -7,-6) -12 -

A: Given that: Graph of f(x)

Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

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Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: (a) (b) (c) 2x1 + x2x3 = 1 x₁2x₂ + x3 = 0 -x1 + 2x₂ + x3 = 6 2x1 + x2x3 x₁2x₂ + x3 4x13x2 + x3 = 3 =…

A: To use Gauss-Jordan elimination to solve system (a).Concepts used:To solve a system using…

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: (x? - 5, х<-3, What is the range of g(x) 2х, X2-3 O (-0, ) O -6, 0) O -5, ) O [5, *)

A: To find: Range of the function g(x)

Q: 2x + 1 3) Let f(x) = x- 1 a) What is the domain of f? b) Find f(-2), f(0), f(10), f(1000), f(10,000)…

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Q: What if the big-O of the following function? f(x) = 2 + 3 + 4 + ... + (n-1) OO (nlogn) OO (n-1) OO…

A: The function appears to be summing up a sequence of consecutive integers starting from 2 and going…

Q: . The relation ⋆ means “this number written out in English has this many letters”. For example, 6 ⋆…

A: A relation R  on a set A is said to (1) Reflexive : forall x in A implies (x,x) in R . (2)…

Q: Given f(x)=x + 2 and g (x)= 4-x^2 , find the following 1) (f*g)(x) 2) (g*f)(x) 3) (g*f)(-2)…

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Q: 5 f(1) + 5 g(9) = 8+ 6- 4+ 2+ y=g(x) 一ェ 8. -8 - -4 人6 -4+ 64y=f(x) -8 .

A:

Q: Find all real numbers for which the distance between (x,-1) and (2, x) is 3

A: →Distance between the two points A(x1,y1) and B(x2,y2) is given by,                          d =…

Q: y 15 10 nd f-1(8) and f-1(11). f-(8) (11) = %D %3D

A:

Q: f(z) = 2(x – 5)² + 3. - f (x) is invertible for which values of x?

A: Given function is: fx=2x-52+3 Then we get,…

Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: Example. If A(x) = 2* , find f(0), A3), and A-4).

A: According to the guidelines, I am answering first question. Please repost the remaining. Explanation…

Q: If the dependent variable goes up when the independent variable is increased this is a(n)

A: If the dependent variable goes up when the independent variable is increase, this is an estimating…

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

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Q: (x+1)² (x-3) > 0

A:

Q: What is the value of

A: We know that the series sum representation of ex is  ∑n=0∞ xnn!. Here, we are given the series as…

Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.

Q: If f (x) = 1 x-7 then f-1 (x) =2x+7                   2                    2) If f (x) = {(-3,1)…

A:

Q: The relation defined as ((1, 3), (1, 5), (2, 5)} is a function A) True B) False

A: FOR VALID FUNCTION THERE CAN NOT BE MORE THAN ONE IMAGE IN CODOMAIN FOR SINGLE ELEMENT OF DOMAIN

Q: Determine the value of each of the following expressions with the table: a) f(g(1)) b) g(f(1)) c)…

A: (a)f(g(1))  From the table , the value of g(x) at x=1 is 6, so g(1)=6 b) g(f(1)) From the table ,…

Q: What is the domain of y=v(x+2)-5? [-5, 0) O (2, ) O 1-2, )

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Q: which of the following intervals the function f(x) = x² + 3x – 4 is increasing?

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Q: What is (go f)(x) if f(x) = 2x + 3 and g(2) = ? ㅇ (go f)(z) = 블z+ 를 %3D ㅇ (gof(z) = 블로 + 3 ㅇ (go…

A: