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Paladinen [302]
4 years ago
13

please help! i will give brainiest Ann​'s car can go miles on gallons of gas. During a drive last​ weekend, used of gas. How far

did ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance drove last weekend instead of how much gas used.
Mathematics
1 answer:
iragen [17]4 years ago
3 0

Answer:

I LOVE YOU MORE

Step-by-step explanation:

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Multiple-Choice Integration, Picture Included, Please Include Work
ValentinkaMS [17]
\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx

Recall that a circle of radius 2 centered at the origin has equation

x^2+y^2=4\implies y=\pm\sqrt{4-x^2}

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius r is \pi r^2, it follows that the area of a quarter-circle would be \dfrac{\pi r^2}4.

You have r=2, so the definite integral is equal to \dfrac{2^2\pi}4=\pi.

Another way to verify this is to actually compute the integral. Let x=2\sin u, so that \mathrm dx=2\cos u\,\mathrm du. Now

\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du

Recall the half-angle identity for cosine:

\cos^2u=\dfrac{1+\cos2u}2

This means the integral is equivalent to

\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi
4 0
3 years ago
A total of 8,644 people went to the football game. Of thos the visitors side. Of the people sitting on the visitor's side filled
lisov135 [29]
You divide 8644 by 8 which equals 1080.5, but since you can't have half of one person you approximate it to 1080 or 1081.
3 0
4 years ago
Differentiation<br><br>Please help me! ​
Sunny_sXe [5.5K]

Answer:

\frac{dy}{dx}  =  - 1 \frac{5}{9}

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ \frac{1}{x}  = x^{ - 1}

3 0
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Answer this pls thank u,
natta225 [31]
The answer is D, the yellow
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I’m Pretty sure the answer is 17% if it’s wrong I’m really sorry but I’m pretty sure it’s right
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