2 years ago

Please help this is due TODAY

Mathematics

1 answer:

hammer [34]2 years ago

6 0

Answer:

x=75°and y=x= 75°

Step-by-step explanation:

Reason: opposite angles are equal and how I got 75 is by drawing an extension line and finding the other angle (i.e. angle on a straight line=180) so 180-105=75.

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2 years ago

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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

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