3 years ago

1/9x^2-4 Decomposition

Mathematics

1 answer:

irina [24]3 years ago

8 0

I got 0.01298?
(probably wrong)

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Write an integral in polar coordinates equivalent to the following:

Alex73 [517]

The region is a segment of a circle with radius √2 lying above the line $y=1$ . In polar coordinates, this line has equation

$y = r\sin(\theta) = 1 \implies r = \csc(\theta)$

and the circle has equation

$x^2+y^2 = r^2 = 2 \implies r=\sqrt2$

The two curves meet when

$\csc(\theta) = \sqrt2 \implies \sin(\theta) = \dfrac1{\sqrt2} \implies \theta = \dfrac\pi4 \text { or } \theta = \dfrac{3\pi}4$

Then the same integral in polar coordinates is

$\displaystyle \int_{-1}^1 \int_1^{\sqrt{2-x^2}} xy \, dy \, dx = \boxed{\int_{\pi/4}^{3\pi/4} \int_{\csc(\theta)}^{\sqrt2} r^3 \cos(\theta) \sin(\theta) \, dr \, d\theta}$

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1 year ago

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melisa1 [442]

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3 years ago

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Which expression is equivalent to the expression -3(4x - 2) - 2x?

masha68 [24]

Answer:

D is the answer

Step-by-step explanation:

You just distribute the negative three and combine like terms

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3 years ago

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PLEASE HELP !!!!!Factor 16x2 - 6x - 7.

Trava [24]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

16x^2-6x-7 Question

Step 2

16x^2-6x-7 Factor

answer

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Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seco

vesna_86 [32]

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Step-by-step explanation:

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