Let X- Unif[-2, 2], and Y = (x + 1)². (a) Find fy() and fy(4), where fy() is the probability density function of Y. Separate your answers with a comma. (b) Find P{Y < 4}.

Q: S t Vat²-b dt

A:

Q: U W V

A:

Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

Q: dr –DA V7 - 5r)

A:

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: Find u × v, v × u, and v × v. u = 2, −9, −1 v = 9, −2, −6

A:

Q: Find gcd (3084, 1424)

A:

Q: Find u × v, v × u, and v × v. u = (3, 2, 8) v = (−3, −1, −9)

A:

Q: curl(curl F)= grad(div F) - 2F

A:

Q: 4 (2+ VT)5 5. Calculate 0.

A:

Q: dy Find for ax xtR ב3 ay

A:

Q: (A v B) A -C

A: Solution: The objective is to complete the truth table

Q: v+4 dv Evaluate: V

A:

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: 7 gal 3 qt + 5 gal 2 qt=

A: Now, objetive is to find 7 gal 3 qt + 5 gal 2 qt=----------------

Q: 2 V ² +1 dx

A:

Q: W X Y Exs. 4, 5

A: Given: mXW⏜=60, mWZ⏜=70, and mZY⏜=70.

Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

Q: S=P+Prt for r

A: The equation is given by,

Q: 1) 2 J0 (1 – 9ry²) dy dr

A: For the given double integration , first we gonna solve for dy then dx.