[Q1] For the discrete PDF below, find: (a) E[X], (b) E[4 — 3X²]. - x 3 4 6 f(x) 0.36 0.3 0.34

Q: Given the following function, find  h(3). h(t) = t2 − t + 1 h(3

A: The function is given by h(t) = t2-t+1 We need to evaluate the value of h(3)

Q: Find f(x).

A: Given,

Q: v(t) = a(t), for {t

A: Given statement is a(t) = v(t) for t € R.

Q: Use function f(x)=1/x to find: a. 2 b. f(a+2) c. f(0)

A: Given f(x)=1/x

Q: Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3)

A: We know that the slope formula :m=y2-y1x2-x1

Q: For the function f(x) = 5 · 9", calculate the following function values: f( – 2) ()- 1 f 2 f(0)

A:

Q: In an experiment, John has found that the low bid on a construction job can be regarded as a random…

A:

Q: Given the following function, find  h(2). h(t) = t2 − t + 7 h(2) =

A: Given, h(t) = t2 − t + 7 h(2) =?

Q: For the function f(x) = 8 · 9ª, calculate the following function values f(- 2) f f(0) =

A: Given that the function is        f(x) = 8 . 9x We have calculate the function value of f(-2),…

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: F(s) = exp(-s) exp(s) -exp(s)/s² 2/s³-1/s² -exp(s) (1/s² - 1/s) exp(-s)/s² 1/s² - 1/s exp(-s) (1/s²…

A:

Q: Calculate L6 for f(x) = x² + 3|x| over [-1,4]. (Use decimal notation. Give your answer to three…

A: Left Riemann sum of the function

Q: dy as a function of x. Write the following function in the form y = f(u) and u = g(x). Then find xp…

A:

Q: For the following continuous PDF, find: (a) E(X), (b) Var(X). 950 f(x) = x8, for 2< x <3, 0,…

A: PDF of X is f(x)=950x8, for 2 &lt; x &lt; 3

Q: write the function f(t)=50(1.07)t in an equivalent form f(t)=A0ert

A: ft=501.07t use the formula a=elna so here we can write 1.07=eln1.07

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x

Q: Given the following function, find  h(2). h(t) = t2 − t + 1 h(2)=

A: Given function, h(t) = t2 − t + 1

Q: For the PMF Px(x) = { 2 0 x = 1,3, otherwise. calculate E[2x].

A: The PMF of X is given as,