Let X, Y have the joint pdf {; for x? + y? < 1 and x > 0, y > 0 cx fx,y 0.W. where c is some constant. Question part 6:

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: (3, 4, 3) Let v = Calculate: vxi=( vxj=( v x k = ( A F ->

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Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

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Q: -t,x-1 dt

A: Please see the explanation below

Q: find anti derivative.

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Q: Write a function newt (f, df, x0) which implements Newton's method to identify a root of the…

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Q: Let g(x) = f() dt, v %3D

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Q: Calculate for w = xyz. By

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Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

Q: State Fubini’s theorem.

A: Statement of Fubini's theorem

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

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Q: Prove that P(Ø) = 0. Hint: Let A, = Ø for all i in equation (1.3.3).

A: Consider that

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

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Q: Find a value for x so that distance from (x,3,6) to the origin is 9

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Q: Exercise 5.1.2 Normalize V 15-3.4i 2.1-16i

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Q: Find the derivative car (x+y) = yrinx

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Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5…

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…

Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

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Q: y = Ae* + Bre

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