2 The random variable x is uniform in the interval (-2, 2n). Find fy(y) if (a) y=x³, .(b) y = x², and (c) y = 2 sin(3x + 40°).

Q: teps that it took to convert to that form.. (9) fix,y) = X ty+xy i

A:

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A: *concept :- let, x^4 = t then integrate the simplified term cos(t).

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A: We need to evaluate integral.

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A:

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

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A: We have given  F-1 (i/(n+1))= (1/lembda) ln(n+1/n+1-i)                     =  - (1/lembda)…

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A:

Q: 3z2 If f(z) = | cos(t) dt, then f'() = %3D %3D Select one: a. 6z cos(9r) b. 6z cos(a?) c. 3z cos(r?)…

A: Leibniz rule of differentiation: ddx∫uxvx ft dt=fvt.dvdx-fut.dudx

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A: Integration

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A: To find -

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A:

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: Suppose that Var(X) = 3, Var(Y ) = 4, and Cov(X,Y ) = 1. (a) Find Cov(2X −Y,X + 3Y ). (b) Find…

A: Solution-: Given: Var(X)=3, Var(Y)=4, Cov(X,Y)=1 We want to find, (a) Cov(2X-Y, X+3Y)=? (b)…

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A: The given differential equation is  1+lny-xy dx + xy+x22y2+3yln2y dy =0   ;  y(2) =1 Compare with…

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A:

Q: on inteaurron (ii) Determine the general formula for V Pn.

A: Numerical analysis.

Q: :) 3 1 19. + dx x3 3x 20. | (2.x2 + x – 1)dx 2y4 + 1 / 2y4 Зуз 21. ip- 1 1 22. / (VE+1- + sin x – e"…

A: 19.  Let the given be I  I = ∫3x3 - 2x3 + 13xdx Now integrating given integral , we get  ⇒I = ∫3x-13…

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Q: Let y = xbex (where b is a real number). Determine y'.   Let y = (3x + 6)/(6x + 12). Determine y'.

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

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A: Given: y=5t2-4t2We need to find dydt.

Q: If P(A')= 0.4 and P( A and B)= 0.30, then find P(B|A)?

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A: Given J(u)=(3u+3u2)(4u+4u)

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A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which…