Given the pdf f(x,y)=e**10-) (x)!0.) (Y). find 1. P(X>1). 2. P(X

Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Let f(x) be a continuous function on (-00,0) and f"(x) = (-4x + 5)e4x. The function f(x) has an…

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Q: f(x) = ln[x(x + 6) 5 (x²+2)4] f'(x) =

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Q: Let f(x) = 2x e¯x*,x > 0 and Let Y x2. Find G(y)and g(y). %3D

A: In this question,  we need to transform the variable in the probability density function.

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: f(x) = xe (1+e*)

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Q: suppose

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Q: 4. Suppose that the random variable X has density function Jo, and suppose that Y = e-X. fx (x) =…

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Q: 69. Let f(x) = x. Find an interval [a, b] such that 3 f(x) dx and If(x)|dx : 2

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Q: Let X ~ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X x0) = 0.90.

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Q: |- Let f(x, y) = y²e* +y find fryy

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Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

A: Given,

Q: LetP(B) = 0.6, P(K|B) = 0.2, P(K|B') = 0.35. FIND THE VALUE OF P(K)

A: P(B)=0.6P(K|B)=0.2P(K|B')=0.35

Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: 3 f(x) dx = 4, find | xf(x*) dx. If f is continuous and

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Q: What is the domian of f'(x)?

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Q: If f, g L₂ then [S* S(x)g (x) dx ] * ≤ [f*° ƒ^²(x)dx ] [1° g² (x) dx]

A: This is the famous Cauchy Schwarz inequality for integrals. It follows by working with quadratic…

Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

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Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the…

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Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: 7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain.…

A: We have

Q: es AB3: Let h(x) = - Find h'(6). 3x %3D 3

A: Here we have,  h(x)=eg(x)3x ....................(1)  we have to find h'(6)=? Now differentiate…

Q: Evaluate. 3 Lox f(x) dx, f(x) = (−x + 1, x≤2 1-x² + 6x-9, x>2

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Q: s defined by + x). The value o ind off to 1 decimal

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Q: Jаx + 2 for x 3 Find b – a. (A) 5 (B) 6 (C) 11 (D) 17 O A ов O C D

A: Here we have to find the value of b-a.

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: Find f such that f'(x) = 4x – 3, f(4) = 0. %3D %3D f(x) = D %3D

A: Given that: f'(x)=4x-3, f(4)=0

Q: Let f(x) = 2 – 2², x > 0 f'(x) = Preview

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