1) Verify using general properties of expectations that E[Y®] = E[Y(Y – 1)(Y – 2)] + 3E[Y(Y – 1)] + E[Y] 5) Find an expression for E[Y³] for n 2 3. Justify your answer.

Q: Let f(x) = (x - 1)2, g(x) = e-2x, and h(x) = 1 + In(1 - 2x). (a) Find the linearizations of f, g,…

A: Given:

Q: At what values of x does the graph of y = x´e¯t have a point of inflection? Ox=-2 and x=0 O x=1 and…

A: fx=x2e-2x To find inflection point

Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

A:

Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

A:

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

A:

Q: Let F(s) = 1 (2s − 1) (2s − 3) - Find f(t) = L-¹[F(s)]

A:

Q: 1 Let g(x) = 2+3Vr. Prove that gl exists, and find (g)'(5). %3D

A:

Q: 2) Find a value of C for J(X) Is a pdf oh the Ih ated Interval. 08 f (х) — сх + х?, [0. 1]

A: Given f(x) is a pdf on the indicated interval. f(x) = cx + x², [0.1]

Q: f (x) dx = 3, what is the value of xf (x² – 4) dx? 1. Given that %3D | x 213 – 54 - 2. Given that f…

A:

Q: 2. Let g(x) = "(x² – 4x + 6) dx. Is the graph of g concave up or concave down at x 1? Justify your…

A: Explanation of the answer is as follows

Q: - Use the graph of y = g(x)st •S g(x)dx. %3D below to compute 2 y = g(x) 3 4 1 2 -1t 56 7 8

A:

Q: A bank saving account with a fixed interest rate is modeled using the following difference equation:…

A: Given: y(n) -(1+r)y(n-1) = x(n) y(n)   = x(n) + (1+r)y(n-1)     where x(0) = 1500$ , y(-1) = do not…

Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

Q: (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2)…

A:

Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Find the linearization for f(x) = In(x) at x= e. (b) Use your linearization to approximate…

A:

Q: 4. g(w) = (3w - 2)*(5w – 4)² 5. G(u) = u³(u+ 1)²(u + 2)

A:

Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 2. State the value of x for each, given g(x) = -3x + 4 and f(x) = /x – 5 a)g(x) = 10 b)g(x) = -2…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: is the mixed derivative a2 az

A:

Q: 17) Draw the graph of a function K(m), such that S К (т) dm о

A:

Q: Find the linearization L(x) of f (x) = ln(1 + x) at a approximate f(0.1). = 0. Use this…

A:

Q: Consider the function f(r) = e-2. Do three steps of the Secant Method (by hand) using ro = 0 and z =…

A: Use formula of secant method.

Q: Exercise 5. Let X be a r.v. representing the outcome of rolling a fair, 6-sided die: f(1) = ƒ(2) = -…

A:

Q: 4. Let X have the pdf f(x) = for some ß> 0 and x € (0,0). (a) Verify that f(x) is a pdf. (b) Find…

A: The random variable  has PDF is given as follows: