Problem 1. Let f(x) = c/x – 4 on [5,8] Find c so that f is a pdf. Determine the mean. -

Q: 5.1-2. Let X have the pdf f(x) Find the pdf of Y = X². = xe-x/2,0 < x < 00

A: Given

Q: 5.1-4. Let X have the pdf f(x)= xe-/2, 0 < x < 00. Find the pdf of Y = X²

A: Given: Let X have the probability density function fx=xe-x2/2, 0&lt;x&lt;∞

Q: f(x) = In(2x) %3D (x), %3D

A:

Q: 4.2 2

A: Differentiate the following:   F(x)=(6x+1)2

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: 3. Recall that z = x+iy. For each of the given functions, use a result related to the Cauchy-…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: For the function f(x)= 4 e , find f"(x). Then find f"(0) and fP"2).

A: Take derivative with respect to x.

Q: Question 2 Consider the following table of values: X 4 f(x) 3 4 2 1 f'(x) -5 -6 -7 11 3 g(x) 4 1 2…

A:

Q: Differentiate the function. 4x -3) -5 f(x) = - 5 5x +5 f'(x) =

A:

Q: x/c x= 1,2,n Suppose that f(x) = • otherwise Find c so that f(x) represents a pdf. Find an…

A: Introduction: For a discrete random variable X, the probability mass function or probability…

Q: Question 1 Consider the following table of values: X f(x) f'(x) g(x) g'(x) -2 -3 1 2 3 4 -5-6-7 Find…

A:

Q: Q1 (a) Let X1,..., Xn be iid obser vations from an exponential(A) pdf, where A has the conjugate…

A: Im bayesian probability theory if the posterior distribution p(θ|x) are in the same family as the…

Q: 15. Find the values of A, o, and for the function y = Asin (ox-6) so that the graph off matches the…

A: answer is in next step . please give a like !!

Q: For the function f(x) = 3x- 4x +3x +5x +6, find f'"(x), the third derivative of f, and f(x), the…

A:

Q: Inx For the function f(x)= find f"(x). Then find f"(0) and f"(6). 2x f"(x) =

A:

Q: f(x) = - 3 ln(8x) f'(x) = ƒ'(3)

A: Given that  f(x)=-3ln(8x) We know that differentiation of the logarithm function if y=ln(x) then…

Q: Find the derivative. y = In (3-5x) y' =]

A:

Q: Question 5 Answer the following. Do the best you can entering in mathematical statements into the…

A:

Q: Examine this figure showing the graph of y = f() y = f(x) (10, 4) Tangent line (4, 2) and estimate…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.