Math Answers

A population of a certain ethnic group is consisting of three numbers (3,4,5,6,7). if samples of size 2 will be taken without replacement, find..

a. population mean

b. population variance

c. population standard deviation

d. mean of the sampling distribution of the sample mean

e. variance of the sampling distribution of the sample mean

f. standard deviation of the sampling distribution of the sample mean

Assume that when adults with smart phones are randomly selected 44% of them use them in meetings or classes if 12 adult smartphone users are randomly selected find the probability that fewer than 4 of them use their smart phones in meetings or classes

Find the derivative of the function

P(x)=ln ⁡[ (4x + 1)^3 / (2x − 5)^4 ]

is

a. −4(2x−17) / (4x+1)(2x−5)

b.−4(2x−17) / (4x+1)

c. 4(−2x−17) / (4x+1)(2x−5)

d. (−2x−17) / (4x+1)(2x−5)

Find the second derivative of the following function:

F(x)=3x^3 − 1 / x + e^2x.

is

a.18x − ln x + 4e^2x

b.18x − 2 / x^3 + 2e^2x

c.18x + 2 / x^3 + 4e^2x

d.18x − 2 / x^3+ 4e^2x

Find the derivative of the function:

x^5 e^3x + x + 1 / x

a. x^5 e^3x + 5x^4 e^3x + 1 / x^2

b.3x^5 e^3x + 5x^4 e^3x − 1 / x^2

c. x^5 e^3x + 5x^4 e^3x − 1 / x^2

d. 3x^5 e^3x + 5x^4 e^3x − 2 / x

Differentiate the function:

.F(x)= x − 4x^2 / x^3.

is

a. F′(x)= 2 / x^3 − 4 / x^2

b.F′(x)= 3x^2 − 24x

c.F′(x)= − 2 / x^3 + 4 / x^2

d.F′(x)= 1 − 8x / 3x^2

The derivative of F(x) =12xe^6x

is

a.12e^6x (1 + x)

b.12e^6x (1+ 6x^2)

c.36e^6x (1+x)

d.12e^6x (1+6x)

Decompose

(i)x^4-x^3-2x^2+4x+1/x(x-1)^2

(5)

into partial fractions (show all the steps)

Find the derivative of

F(x)=14+ln  x /√ x + 5

a. 3x+10 / 2 x (x + 5)

b. x +10 / 2x (x + 5)

c. 10 / 2x ( x + 5)

d. 2x (x + 5)

In Exercises 15–16, determine whether the expression makes sense mathematically. If not, explain why?

15. (a) u · (v · w)

(b) u · (v + w)

(c) u · v

(d) (u · v) − u