3 years ago

GIVING OUT BRAINLIEST + 80 PTS , GO TO MY PROFLE AND ANSWER!

Mathematics

2 answers:

Arada [10]3 years ago

5 0

Answer:

I will answer the Question

Step-by-step explanation:

Natasha2012 [34]3 years ago

3 0

Answer:

ill try to help you at the best of my ability

Step-by-step explanation:

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loris [4]

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2 years ago

48:80 in simplest form

vivado [14]

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4 years ago

Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bx%5E%7B2%7D%20%2B

xenn [34]

It sounds like R is the region (in polar coordinates)

R = {(r, θ) : 2 ≤ r ≤ 3 and 0 ≤ θ ≤ π/2}

Then the integral is

$\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}$