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3 years ago

13

If 3 x 742 = 2,226, then

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

A.

Step-by-step explanation:

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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

Graph the linear equation using the slope and y-intercept.<br> Y=4X+3

JulsSmile [24]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have y = 4x + 3

m = 4 - slope

3 - y-intercept

$m=\dfrac{\Delta Y}{\Delta x}\to4=\dfrac{4}{1}$

4 units up and 1 unit right

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3 years ago

In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio

lesantik [10]

Step-by-step explanation:

<h2><u><em>81/24</em></u></h2><h2><u><em>= 27/8</em></u></h2>

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Round 345,047 to the nearest thousand ten thousand hundred thousand

Korolek [52]

345,000 ; 350,00 ; 300,000.

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Answers r <br> 26 miles<br> 13 miles<br> 10 miles<br> 5 miles

butalik [34]

26 this person other person is correct

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3 years ago