What is x+3y+2x+30=180?
2 answers:
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Answer:
c ≈ 5.5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
c² = 2.4² + 4.9² = 5.76 + 24.01 = 29.77 ( take square root of both sides )
c = ≈ 5.5 cm ( to the nearest tenth )
It looks like you want to compute the double integral
over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.
Convert to polar coordinates, in which <em>D</em> is given by the set
<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}
and
<em>x</em> = <em>r</em> cos(<em>θ</em>)
<em>y</em> = <em>r</em> sin(<em>θ</em>)
d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>
Then the integral is