If -1 is subtracted from 5, what will be the result?

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative. f"(x) = 2x + 9e

ad-work [718]

Answer:

$f(x)=\frac{x^3}{3}+9e^x+Cx+D$

Step-by-step explanation:

The function F(x) is an antiderivative of the function f(x) on an interval I if

F′(x) = f(x) for all x in I.

The function F(x) + C is the General Antiderivative of the function f(x) on an interval I if F′(x) = f(x) for all x in I and C is an arbitrary constant.

The Indefinite Integral of f(x) is the General Antiderivative of f(x).

$\int {f(x)} \, dx =F(x)+C$

To find the first antiderivative you must integrate the function $f''(x) = 2x + 9e^x$

$f'(x)=\int { 2x + 9e^x} \, dx \\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int \:2xdx+\int \:9e^xdx = x^2+9e^x\\\\\mathrm{Add\:a\:constant\:to\:the\:solution}\\\\x^2+9e^x+C$

To find the second antiderivative you must integrate the function $f'(x) =x^2+9e^x+C$

$f(x)=\int {x^2+9e^x+C} \, dx\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int \:x^2dx+\int \:9e^xdx+\int \:Cdx= \frac{x^3}{3}+9e^x+Cx\\\\\mathrm{Add\:a\:constant\:to\:the\:solution}\\\\\frac{x^3}{3}+9e^x+Cx+D$

Therefore,

$f(x)=\frac{x^3}{3}+9e^x+Cx+D$

8 0

3 years ago

How to use properties to find the sum or product for 8×51

xxMikexx [17]

Answer:

8 * 50 = 400

8 * 1 = 8

400 + 8 = 408

5 0

3 years ago

82-L

myrzilka [38]

The answer is D. They sold 22 cakes

7 0

3 years ago

PLEASE HELP!! The price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6%

Klio2033 [76]

Answer:

Step-by-step explanation:

A)

This is the 30% discount:

$39.99 x .30 = $11.997; The discount is $11.997

Price of headphones after the discount:

$39.99 - $11.997 = $27.99

Now we need to calculate the 6% sales tax on the discounted price.

$27.99 x .06 = $1.68 (rounded off)

Dalton paid $1.68 in sales tax on the discounted price.

B)

The total price Dalton paid for the headphones will be the discounted price plus the sales tax.

$27.99 + $1.68 = $29.67

Total price Dalton paid: $29.67

8 0

2 years ago

Hii!! I need help finding a Distributive property equation so that x=8 Thanks! :)

Sidana [21]

Example: 8(1x+0) = 8x

4 0

3 years ago