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emmasim [6.3K]
4 years ago
9

Which compound inequality is graphed?

Mathematics
1 answer:
Vsevolod [243]4 years ago
8 0

4th choice

The app won't let me submit this unless it's more than 200 characters long, but I'm not sure how to explain this kind of problem, so I'm just going to type random letters. If you do have questions, I'd be glad to answer them.

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If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?
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The coefficients a_0,a_1,a_2,a_3 could be chosen to be the coefficients in the Maclaurin series of \sin(x).

We have

y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0

y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1

y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2

y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3

It follows that a_0=0, a_1=1, a_2=0, and a_3 = -\frac16.

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2 years ago
3/5x + 1/2y=30 in need x and y intercepts step by step please
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Step-by-step explanation:

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