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DedPeter [7]
3 years ago
13

Find the area enclosed by the graphs of y=√(4-4x), y=√(4-x) and x-axis by integrating with respect to x and integrating with res

pect to y g
Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

(A) 2/3 [√(4-4x)]^3

(B) 2/3 [√(4-x)]^3

Step-by-step explanation:

Integrating the functions,

(A) Any function in square root is equal to or same as the function raised to the power of 1/2

To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2

Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.

Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.

Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3

So the integral of Y = √[4-4x] is

2/3 [√(4-4x)]^3

(B) In like manner, the integral of

Y = √[4-x] is

2/3 [(√4-x)]^3

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Li brought five lip bombs each of the lip bombs Costs the same amount she spent a total of $7.25 A write an equation that repres
Advocard [28]

Answer:

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 (c being the singular lip balm price multiplied by 5)


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4 0
3 years ago
Read 2 more answers
Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.
antoniya [11.8K]

we know that

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V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}

The
ratio of these two quantities may be written as

SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})}     \\  \\ SAV =\frac{3}{r}

we know

rMoon=1,738Km\\ rMars=3,397 Km

\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545

therefore

the answer is

1.9

5 0
3 years ago
Read 2 more answers
If tan x=.67, and cos x=.83, what is sin x
Alexxandr [17]

Answer:

0.56

Step-by-step explanation:

                                  sin x

tan x is defined as -------------

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and we can solve this for sin x:  sin x = (cos x)(tan x)

which here is:  sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)

7 0
4 years ago
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