3 years ago

How do I simplify this problem?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

I think you would just have to find the square roots

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statuscvo [17]

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BlackZzzverrR [31]

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2 years ago

Find the reciprocal of the number. Multiply to check your answer.

Mars2501 [29]

To find the reciprocal of a fraction, you just need to "flip" it. To check your work, you multiply the fraction and the reciprocal to get 1.

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sveticcg [70]

Step-by-step explanation:

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2 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

insens350 [35]

Answer:

So, the volume V is

$V=\frac{14\pi}{3}$

Step-by-step explanation:

We have that:

$y=7x\\\\y=0\\\\x=1\\\\x=-4\\$

We have the formula:

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).$

We calculate the volume V, we get

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}$

So, the volume V is

$V=\frac{14\pi}{3}$

We use software to draw the graph.

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3 years ago