Question

What is the area inside r = sin(x) and outside r = 1 - cos(x)?

Answer #1

Find the area inside of r=1+cos theta, but outside of r=1+sin
theta

Find the area of the region inside the circle r = sin θ but
outside the cardioid r = 1 – cos θ. Hint, use an identity for cos
2θ.

Find the area that lies inside r = 3 sin(θ) and outside r = 1 +
sin(θ).

Find the area that lies inside r = 3 sin(θ) and outside r = 1 +
sin(θ).

Find the area between ? = 1 + sin? ??? ? = 3sin?. r=1+sin?
inside, r=3sin? outside.

Find the area that lies simultaneously outside the polar curve r
= cos θ and inside the polar curve r = 1 + cos θ.

Find the area of the region that is inside the curve r = 1 + sin
θ but outside the curve r = 2 − sin θ.

Find the area of the region that is outside the cardioid r = 1
+cos (theta) and inside the circle r = 3 cos (theta), by
integration in polar coordinates.

Use a double integral to find the area inside the circle
r = cos θ and outside the cardioid r = 1 − cos θ.

Find the area inside the polar curve of r = 1 + 2 sin θ but
outside the smaller loop.

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