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3 years ago

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Kiran is playing a video game. He earns 3 stars for each easy level he completes and 5 stars for each difficult level he complet

es. He completes more than 20 levels total and earns 80 or more stars

1 answer:

Kruka [31]3 years ago

4 0

What exactly is the question? Those are statements.

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y

IgorC [24]

Answer:

The volume is $\frac{490\pi}{39}$ cubic units.

Step-by-step explanation:

The given curve is

$y=7x^6$

The given line is

$y=7x$

Equate both the functions to find the intersection point of both line and curve.

$7x^6=7x$

$7x^6-7x=0$

$7x^6-7x=0$

$7x(x^5-1)=0$

$7x=0\rightarrow x=0$

$x^5-1=0\rightarrow x=1$

According to washer method:

$V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx$

Using washer method, where a=0 and b=1, we get

$V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx$

$V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx$

$V=49\pi \int_{0}^{1}[x^2-x^{12}]dx$

$V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1$

$V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]$

$V=49\pi [\frac{1}{3}-\frac{1}{13}]$

$V=49\pi (\frac{13-3}{39})$

$V=49\pi (\frac{10}{39})$

$V=\frac{490\pi}{39}$

Therefore the volume is $\frac{490\pi}{39}$ cubic units.

5 0

3 years ago

Use synthetic division 6. (3x2 – 13x – 10) ÷ (x + 5)

goldfiish [28.3K]

Answer: 64

Step-by-step explanation:

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3 years ago

Combine like terms -2xy+2xy+3xy

liberstina [14]

Answer:

3xy

Step-by-step explanation:

These terms are all like terms so you can add:

-2xy + 2xy = <em>0xy</em>

Now add 3xy + 0xy: 3xy

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3 years ago

HELLLLLLLLLLLLOOOOOOOO HELPPPPPPP

const2013 [10]

Answer:

<h2><u><em>MARK ME AS BRILLANT </em></u><em>^_^ ~_~</em></h2>

Step-by-step explanation:

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3 years ago

27 times 53 in a area model

Margaret [11]

The answer for this question would be 156

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4 years ago