If x~N(μ,0²), then (271) ²~... Option 2 Option 1 ********* N(0, 1) G (1,2) x² (2)

Q: 9. 3 If f is continuous and f (u) du = 3, then / (4xf(x²) + f(3x)) dx is equal to

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Q: Let fV)= [(x sinx)*'e*sin (xcosx+ sinx)dx, y>-2. Compute S(35) y+1 Hint : Use gamma function. O A…

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Q: Suppose that p(x)= 8 · cos(Væ +1) · evæ+1 and that q(x) is a function with p' (x) = q'(x) for every…

A: Given that  px=8⋅cosx+1ex+1

Q: Q2 Choose the word true or false for each of the following (for each branch three degrees) 00 5…

A: Note: According to the guidelines of Bartleby we will only solve first three parts for you. Kindly…

Q: If f(1) = 2, f(4) = 7, f'(1) = 5, f'(4) = 3, and f"(x) is continuous, what is | af" (x) dzr? %3D a)…

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Q: 5. (i) Show that +C, 1+u (a) du = 2 In u(1+ u) 1 dx du , using the substitution u = x. (b) J x(1+…

A: Given,

Q: 35 x*-30 x*+3 If the Legendre polynomials P,(x) = then: 8 Find 1) S, x P,(x) dx 2) P's(-1) A) Lx*…

A: We will solve both these questions using basic knowledge of Legendre Polynomials.

Q: 2(1-z) Evaluate S S --) dy dx dz

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: f(x, y) = ln(+1), g(x, y, z)= e²+y+²+z²+y³+2, h(w, x, y, z) = (4r+wy)²(z-7w). 14.67=(2,4), =…

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Q: out seven rebuilt pumps

A: Rebuilt pumps =7Defective pumps =3Two pumps are to be selected, then classified as defective or not…

Q: 1. Let f(z) = (z+1) (7-3z++2)z and I = P.V. Aiirear . dx. (x²+1)*(x²-3x+2)x If p Res f(z)|z=-i»r =…

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Q: (2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate…

A: We can solve as follows

Q: . The average value of f(x)=√(4-x^2) on [-2, 2] is 1/2 True False The function f(x) * f(x) = x² + 1…

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Q: r(2) = E(1 - cos):)" .Determine the value of f () n=1

A: Here we have to find the value of fπ6=? Given:- f(x)=∑n=1∞1-12cosx2n

Q: Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1…

A: We use the general rule for the inverse of a 2×2 matrix and multiplication of matrices to answer the…

Q: 5. If f (x) = (x + 1)(x2 – 2)3 then f'(x) da व्य 2= 2x (1) 2 A. & 6xx2 – 2)2 انی + (22 21 2 = Alv 3x…

A: Given query is to find the derivative of the function.

Q: If s = x O 9/11, 8,5/8 find . d²s dx² d²s dy 2 d²s d=² d²s dx2 d²s dx2 11 d²s - dx² 121 Click Save I…

A: Given

Q: 2(x-1) If y = Vx² – 2x then y' 3x2-2x

A: For the first part, we differentiate the given function y with respect to 'x' and use change rule of…

Q: If (2xy?+4) dx +2 (x*y-3) dy = 0 then ƏP/ay # ƏQ/ax *

A: Given: The equation is, 2xy2+4dx+2x2y-3dy=0 And ∂P∂y≠∂Q∂x To find: Whether it is true or false.…

Q: By using the substitution u = 4x + 1, evaluate (4x+1) dx 1 x²+x+k 4 4x2 + x + k 1 x' + x + k (4x +…

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Q: 2) Evaluate 21 S.SI xy + y" dy dx

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Q: 46) Evaluate V(3r + 1)dx 2(3r+1)7 O s(3z+1) 2 O 2(3z+1)7 +c 3 O D(3r+1)1 + c 2

A: We have to solve the given integration

Q: Q1. For each of the following, determine which of these choices is correct. (A) The evaluation of f…

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Q: r(1,1) Evaluate oo) (3r + 4xy + ix) dx along y =x

A: we have to evaluate this integral by putting x=t

Q: 19 Suppose that Ts Cx) centered at 2 for f (x) is gicn by Ts Ca):345Ca-2)+5 Cx-2)?ょ2x-2)+(x-2) Than,…

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Q: 1 Let F,= (,1]. 00 Then U.Fn %3D n=1 [0,1) .A O (0,1).B O (0,00).co (0,1].D O

A: Option D is correct.

Q: If y = (1 + x)(1 + x²)(1+x*)....(1 + x* ) then at x = 0 is - dx

A: Introduction :

Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…