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2 years ago

Helpp this is my final

Mathematics

1 answer:

aivan3 [116]2 years ago

3 0

Answer: 6.

Step-by-step explanation:

4^2 = 16

10 − 16 + 6 * 2

6 * 2 = 12

10 − 16 + 12

10 - 16 = -6

-6 + 12 = 6

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

There are only two orthodontists in a village and both wore braces until last month. Dr. Carter now has straight teeth and a cle

lana66690 [7]

Answer:

Dr Carter

Step-by-step explanation:

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labwork [276]

Answer:

circumference is 21.99 and area is 47 and 2/35 unit squared sorry if its a little late

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3 years ago

A square piece of cheese covers eight square inches of a plate. What is the approximate length of one side of the piece of chees

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3 years ago

S(t)=sqrt3t+1 at t=2

avanturin [10]

Answer:

s(2) = √7

Step-by-step explanation:

s(2) = √(3[2] + 1) = √7

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2 years ago