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Mice21 [21]
2 years ago
12

Write an equation in standard form.

Mathematics
2 answers:
Dafna11 [192]2 years ago
6 0
Plss see the attachment....

vichka [17]2 years ago
3 0

Answer:

[1,2]; m = 7

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 = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
3 years ago
The table shows the height of water in a pool as it is
omeli [17]

Answer:

Step-by-step explanation:

Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).

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How much do I spend if I use $20 off coupon on my purchase of $97.43
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algol13

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m1.m2= -1

(4y = -2x -9)= (y = -1x/2 -9/4)

-1/2.m2= -1

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formula = y - y1 = m2 ( x - x1)

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y - 10 = 2x + 14

y = 2x + 24

7 0
3 years ago
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