Suppose that the random variables a and Y have the joint density function given by: f(x, y) = b(4x + y) for 0 < x < 4 and 0 < y < 4, and 0 otherwise.

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A: Consider the expression x2+y2

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A: We have  to find x

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A: Given that: The integral ∫2x2 -x + 4x3 + 4x dx .

Q: Find the value of each expression if x = 2 and y = - 1. √x2 + √y2

A: The given expression is, x2+y2 We need to find the value of the given expression if x=2 and y=-1

Q: Find the value of each expression if x = 2 and y = - 1. x2+y2

A: Given expression is x2+y2. To find the value of each expression if x=2 and y=-1. Solution: Putting…

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A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: 1 / x(1-x)³dx= .a 1 60 .b 1 10 .C 1 20 .d 1 120

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Q: Complete each step. (3x + 5)(2x – 5) = 3x(2x) (5) + (2x) – 25 = 6x2 + 10x – 25

A: Given:          (3x + 5)(2x - 5)         = 3x(2x) - 3x(5) + 5(2x) - 5(5)         = 3x(2x) - 3x(5) +…

Q: 13 2y + 3 x - 4

A: To find the value of .

Q: Find the value of each expression if x = 2 and y = - 1. -3x-1y

A: Solution:To find the value of each expression if x = 2 and y = - 1.  in -3x-1y

Q: Let A = (1, -2) and B = (6, 2). Solve for projyA. %3D

A: projBA  implies projection of A on the vector B. projBA =A·BB2 B  ............(1) A·B is dot product…

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Q: 2x+3z = 5 and 3x+2z = 5. The value of both x and z is A

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Q: Simplify. Show your work using the Equation Editor Tool. -3x³2x-}

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Q: 2. Find the values of the variables: x+ 2 y x +1

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Q: Solve the DE x2y"-3xy+4y=lnx

A: Given the differential equation is                                 x2y''-3xy'+4y=lnx ⋯⋯⋯ (i) Solve…