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3 years ago

Find the volume of the pyramid below. Enter your answer as a number with no units.

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Bet imma go measure it rn!! Be back to you very soon xoxo

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Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

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7 0

2 years ago

Please answer this correctly <br> Is the answer <br> 6:07am<br> 9:11am<br> 6:39am<br> 10:11am

nika2105 [10]

Answer:10:11 am

Step-by-step explanation:

3 0

3 years ago

Terrisita sang for 2 hours. Then she went swimming for 3 hours.

Levart [38]

Answer:

3 plus 2 is 5 so the answer is 5 hours

3 0

3 years ago

Determine the next three terms in the following sequence: 1, 8, 27, 64,____, ____, ____,...

Dovator [93]

Hello,

Answer D
$x_{n} =n^3\\
 x_{1} =1^3=1\\
 x_{2} =2^3=8\\
 x_{3} =3^3=27\\
 x_{4} =4^3=64\\
 x_{5} =5^3=125\\
 x_{6} =6^3=216\\
 x_{7} =7^3=343\\
$

4 0

3 years ago

Read 2 more answers

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles

kirza4 [7]

Answer:

The equation for this should be 1.49x + 1.25y = 100

Barbara needed to find the total of iced teas AND the total of water bottles that sells.

Step-by-step explanation:

7 0

3 years ago