X -1 1 E(X), E(Y), D(X), D(Y), Cov(X,Y), PXF- Y-1 1 0.35 0.45 0 0.20

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: S (x + ¹) ex x²+2x-3 dx

A:

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: 1 (е) -dx 2х — 3 а? — 4 |

A:

Q: 5x (d) . x²-x-6 dx

A:

Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form.

Q: -1 df Find for f(x) = x+3 dx 2x+5 at X= 3 . 1 A 25 (в -25 1 81 81

A: topic - derivative of a Inverse function

Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: x2 + 2 -dx. | (* – 1)(x – 4)(x+2)

A:

Q: 2x + 3 If f(x) then x + 2 dy /(x+ 2)2 %3D dx

A: Given: f(x)=2x+3x+2 The objective is to find the numerator a of the derivative of the given…