Let X be N(0, 1)and Y be N(0, 9) , with X and Y independent. Let Z 2X – 16Y, and let W = 3X3 + 4Y5 %3D a) Find E(Z) b) Find Var(Z) c) Find E(W)

Q: By using the substitution u = 4x +1, evaluate (4x + 1) dx %3D

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Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: Let W = {A E M3: a1 = a12 = 0 and an = an= az3}. %3D Then dim(W) = (A) 4 (B) 5 (C) 6 (D) 3 (E) 7

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Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: 31. Evaluate

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Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: Find (f g)(x). f(x) = 7x + 9, g(x) = 4x - 1; A) 28x + 8 B) 28x + 16 C) 28x + 2 DJ 28x + 35 op

A: The given functions are  f(x) = 7x +9 g(x) = 4x - 1 To find (fog)(x)

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A: Using partial derivative.

Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

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

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

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Q: EXAMPLE 12 Solving Radical Equations /2r + 7 – x = 2 а.

A: a.2x+7-x=2 adding x on both sides, 2x+7=x+2 squaring on both sides,…

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Q: ) If f (x) = x +5 and g(x) = x2 - 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

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Q: 6xy — 2x — 8zx2 = 0 6xy — у — 2zy2 = 0 4x² + y² − 2 = 0

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Q: Differ entiate he ff 4. Purdut Rule sluct ) f (x) = x³(3x+2).

A: Product rule of differentiation: If p(x) and q(x) are two functions of x, then…

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A: Given: Here, the dependent variable is z, independent variables are x and y. And the type is a…

Q: Let f(x) = 3x – 1 and g(x) = x² + 4x – 2. Evaluate the following. - a. f(3) = 8 b. ƒ( – 1) = |-4 с.…

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Q: Find the values of w, x, y, z and Dx x + y + z + w = 13 2x + 3y - w = -1 -3x + 4y + z + 2w = 10…

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Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: Let f(x) = 3x – 1, and g(x) = 64x3 – 27. Find (fog)(x). a. 192x3 – 28…

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Q: ... 4 B = (-1,4) A A = (1,0.25) %3D -4 -3 -2 -1 2 3 4 5 A y= - 4× y=4-x O f(x) =| D y=4•1*

A: We want to find the equation of given curve.

Q: If y 0 then 25y2- 9y? V25y2 -9y2 O 16y 04y O4y?

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Q: If fxy (x, y) = y for 0 2X - 2) =

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Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

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Q: Pearson’s r(50) = .75, p = .03 can be interpreted as: Group of answer choices X and Y have a…

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Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).