Determine k, so that ƒx¸y(x, y) = a) Determine E[Y] kx 0 0

Q: z = eY/x + 2 log(2x²y)

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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

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Q: Let g(x) = ſº tº dt. Evaluate: X a) g'(x) b) g' (2)

A: We have to find the derivative.

Q: Assume that f is an odd function defined on R and t e Rt. Compute

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Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx? (4 -x), 0 <x < 2 (x) %3D…

A: f(x)=Kx2(4-x) ,      0&lt;x&lt;20,            otherwise

Q: Find the derivative of the function rsin(x) 1- t2 dt. 1+t4 g(x) /1

A: Explanation of the answer is as follows

Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co). fı…

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Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: Use the second-derivative test to show that the function f(x, y) = x²eY – y²e* has a saddle point at…

A: A point (a,b) of function f(x,y) is said to be the saddle point if it is a critical point…

Q: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0. Determine the pdf and cdf of Y = CX

A: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a &gt; 0

Q: (@) Explain why f(z) = 5z"- 6+ Zcos z-z'e the function is entire?

A: To explain why the given function is entire, given function is: fz=5z4−6+zcosz−z3ez

Q: Define. Show that h is continuous at x = 0 but h' (0) does not exist

A: Function is said to be continuous at a point x=a, when the function is defined at a and the limit of…

Q: Find f'cx?, f"cxx) wheve fcK) = xe -2 Jc %3D

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Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: Let f(x) = sin? (x). Define F(x) | f(t) dt. What is F" -) ?

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Q: X has PDF ca? if – a < I < a 0 otherwise f(r) If a = 0.71, what is c?

A: X is random variable having probability density function ,  Then,  We will find the value of c = ?

Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

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Q: d dx y' z' y" z"

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Q: Let X have the pdf 2 2 5|X>3). Select one: O a. 4/5 O b. 2/5 с. 3/5 d. 1/3

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Q: The joint pdf of Y, and Y, is given by (a) ,with support (b) , and 0 elsewhere. (a) 1/y2; (b) 0 < y…

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Q: Q/ if fx(x)= x and (g) is function of R.V X find the PDF of g(x)= X² ?

A: # Given: pdf of random variable x is f(x)=x  then to find pdf of y=x^2 ?

Q: Find the first derivative of y= (a - Va? + æ O a. (2 4 + 8x*) 8. 49V6 (等 )+ (等 ) (等-+) O b. 2/ 7.…

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Q: (2) /: (2) 5te dt (1) dx 5+e*

A:

Q: a red coin as a 1 on one side and a 3 on the other. a blue coin has a 0 and 1. let X represent the…

A: Given Red coin→ 1,3 Blue coin→ 0,1 X→ Total of both coins Y→ No. flipped on the blue coin

Q: Let z= x+iy and determine where the function f(z) = Log(z2 + 1) is holomorphic. What is its…

A: The derivative of f(z) is given by the chain…

Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x&gt;0