E(X)=-3 E(Y) = 4 E(Z) =-1 Var(X) = 24 Var(Y) = 18 Var(Z) = 7 Compute the values of the expressions below. E(-4-5X)= 0 %3D ()- 0 -4Y-Z E %3D Var(-3+2X) = 0 %3D E(-Y') = 0

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: If E (X) = 1 and Var (X) = 4 then E (X² + 2X – 1) = :- 1)

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Q: If R(x) = e*V(x) then particular solution is (a) e* T0-1) V(x) S(D-1) e V(x) S(D-1) (c) e*. 1 V(x)…

A: If Rx=exVx then the particular solution is ex1fD+1Vx

Q: Let f(x) = (16/31)(1/2)* for x = 0, 1, 2, 3, 4 %3D %3D a) Find F(x) b) Find E(X) c) Find Var(X)

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Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

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Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

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Q: If h(x) = x² + 2 then h*(11) + h(-4) is

A: We have to find the value

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: The domain of the function y f(x) from the given graph is y=f(x) 0. (a) (-4,6) (b) [-4,6] (c) [-2,3]…

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Q: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

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Q: Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with…

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Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx+1 %3D 5. (go f)(1) 6. (h o g)(5) 8. (f og)(x) 7. (g o h)(1)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: Which of the following functions when evaluated at g(v2) gives a value of 9/2? g(x) = x° – 2)2 x2…

A: Put value in given function and check

Q: how did you get the z a/2?

A: how did you get the z a/2?

Q: 1. y = 4* y = 1. • 3* %3D 3. f(x) = 3*+ 1

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Q: lIf 90 +9f(x) + x²(F(x))* = 0 and f(3) = -2, find f'(3). f'(3) = %3D

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Q: If X~ GAM(1,2) then Var(X)= 4 (1

A: We have to solve given problem:

Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: Find ()(x) if f(æ) = 7³ – 5a² + 42x – 30 and g(æ) = 7x – 5. )(=) = a? +6 ()(2) = 7² + 6 '(능)(2) =…

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Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

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Q: If Var(X+Y) = 3, Var(X- Y) = 1, E(X) = 1, and E(Y) = 2, then E(XY) %3D 5/2 1/2

A: Solution: From the given information,

Q: 3y(x? - 1)dx + (x? - 8y - 3x)dy = 0 when x = 0 and y = 1 A xy (y - 3) = 4(1 - x²) B y (x² - 4) =…

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Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: If f(x) = x2/(4 + x), find f "(2). f "(2) =

A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: If g(z) = f(z² –72) and f'(-6) =2, %3D then g'(1)= (A) -19 (B) -5 (C) 2 (D) -10 (E)-38

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: -X y`+ 2 y+ y = e %3D

A: