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Shtirlitz [24]
3 years ago
7

7.6.2.6

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer: 20.6

Step-by-step explanation:

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Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx
kolezko [41]
\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx

First let y=8x, so that \mathrm dx=\dfrac{\mathrm dy}8 to write the integral as

\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy

Now recall that (\arcsin y)'=\dfrac1{\sqrt{1-y^2}}, so substituting z=\arcsin y should do the trick. The integral then becomes

\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}
8 0
3 years ago
Solve for x and y<br> y+2x=2<br> y=-4x+10
Katena32 [7]

Answer:

x=4 and y=(-6)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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3 years ago
Solve for brainliest
Evgesh-ka [11]

Answer:

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

Step-by-step explanation:

You’re only supposed to have one number to the left of the decimal point in scientific notation.

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

3 0
3 years ago
Number 9 please. I need help
Sloan [31]

(1/12)X = 6800

6800/ (1/12) = X

X = 81600 (hours)

6800 (6.8 * 10^3) divided by 1/12 (12^-1) equals 81600. It will take 81600 hours for the pool to completely empty at a rate of 0.833333333 or 12^-1 gallons per second.

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Decimal place in a quotient
Yakvenalex [24]
What do you mean this question dosent make any sence
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