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Kisachek [45]
3 years ago
12

Please help thanks gryrrjfjti

Mathematics
1 answer:
lara [203]3 years ago
5 0

9514 1404 393

Answer:

     207.24 in²

Step-by-step explanation:

The "r" in the formula stands for the radius of the cylinder. That is half the diameter, so is 3 in. The "h" in the formula stands for the cylinder height, shown as 8 in. Put these values in the formula and do the arithmetic.

  SA = 2πr(r +h) = 2(3.14)(3 in)(3 in + 8 in) = 6.28(33 in²)

  SA = 207.24 in²

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If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

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The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx

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Solve for y :

\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}.

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2 years ago
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256
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5 0
3 years ago
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I know this problem is not too complicated but i wasnt sure if i was right
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Find the distance between the parallel lines m and n whose equations are
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Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

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10 = 2x     divide both sides by 2

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Step-by-step explanation:

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