Let X have the p. m. f. f(x) = 10' x f(x)= x= 1, 2, 3, 4. Find a) E[X] and b) E[X(5-X)]-

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 f'(2) = g'(2) =…

A:

Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: Compute f(s), where f(x) = cos oz and 8 >

A: We have to find out the Laplace transformation of f(x) = cos

Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

A:

Q: 1. Which of the following are one-to-one functions? (Choose all that apply.) a) f(x) = x? b) f(x) =…

A:

Q: If f(x) = find f"(-1). 01 e ex e D

A:

Q: Let f(x) = 8+ Væ – 4. Find f-'(x). f-1(x) = Now for fun, verify that (f o f-1)(x) = (f-1o f)(x) = a…

A:

Q: Suppose f(x) = x² In(x). then f"(e) equals

A:

Q: If f be the function defined by f (x) = x³ + x. lf g (x) = f−¹ (x) and g (2) = 1, what is the value…

A:

Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: Use the values in the table below to answer each of the following: x f(x) g(x) f'(x) g'(x) f"(x) 0…

A: The table is given

Q: Use the Rules of Logs to expand, then find f'(x) given f(x) = ln V. ex X (x + 3)5

A:

Q: A function f has f(10) = 23, f'(10) = 2 and f" (x) 10. Which of the following are possible values…

A: Find your answer below