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2 years ago

Multiply −2x(6x^4−7x^2+x−5)

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

8 0

Answer:

Step-by-step explanation:

Use distributive property:

$-2x(6x^4-7x^2+x-5)\\\\=(-2x)(6x^4)+(-2x)(-7x^2)+(-2x)(x)+(-2x)(-5)\\\\=-12x^5+14x^3-2x^2+10x$

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

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brainly.com/question/27419605

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1 year ago

The temperature in a greenhouse should be 66 degrees or higher. One morning, the heater stopped working. The temperature droppe

erastova [34]

Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

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2 years ago

A rectangular prism has a length of 11 mm and with a 5 mm. Its height is double its weight. What is the surface area of the pris

kkurt [141]

Answer:

C. 430

Step-by-step explanation:

length: 11

weight: 5

height (double of weight): 10

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2 years ago