Exercise 1. Suppose that X - f(x) = 1(x = 1,2,3,4,5). Compute... (a) E(X), (b) E(X²), and (c) E(X+2)² Hint: (X + 2)2 = X² + 4X + 4

Q: The coefficient of k-1 in 1+x (1-2x)5

A: 4) To find the coefficient of xk-1 in the expansion of the x+1(1-2x)5 We use the expansion formula…

Q: For which value of x is A = x= 4 1 -4 4 0 0 1 NOT invertible? -3 r

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Q: For which value of x is A = x = 4 1 -4 4 0 -3 0 1 x NOT invertible?

A: The objective of this question is to find the value of x for which the given matrix A is not…

Q: If f(x)= [2 x] then f(-2.1)= O a) -5/ b) -4.2 c) -6 d) -7 Oe) None of the above.

A: Ans:- (a) -5  For detail...go through the solution...I have solved in detail

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: Let A = B = C= {x|x is a real number). Let f : A → B and g : B → C be defined as follows: f(a) = 6a…

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Q: 2. If f(x) = ((-4,4) (-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x) = {(-3,0)(-1,6) (1,-4)(3,-2)),…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

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Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

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Q: Let f(x) = 2* and g(x) = 1. g(0) = 2. f(0) = 3. g(-1) = - (²³)*; and evaluate the following: 3

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: IF fx) = (1 - x) and g(x) = 9 - x, find fg(x)) and g(fx)). Ag(x)) = 9(Ax)) =

A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

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Q: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: verify that (AT )T = A

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Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: s) Let f(x) 1 and g(x) 4 + 6. - х — 6 Then (fo g)(x) = (go f)(x) =

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Q: Determine the main base function as one of f(x) = x, f(x) =x², f(x) = Vx , or f(x) = -. 1 а) h(x) —…

A: A)h(x)=x-7The function h(x) is obtained byvertical transformations of 7 units downof f(x)=xThe base…

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

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Q: Find an example for which (zc)d ≠ zcd with z ≠ 0.

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Q: Let f(x) = 2x + 3 and g(x) = 5æ² + 4x Compute and simplify the following. (f + g)(x) =

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Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.