Question

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

Answer #1

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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.

1.
Find the arclength of r=cos^(3)(theta/3)
2. Find the area outside r=3 and inside
r^2=18cos(2•theta)
3. Find the slope of the tangent line to r=2sin(4•theta) at
theta=pi/4

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

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.

10. Determine the area of the region that is inside r = 3 sin
(theta) and outside r = 2- sin (theta) .

Find the area inside r=3 and outside r=3sin 3 theta

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 exact area of the region inside the circle
r=2cos(theta) but outside the circle r=1

If R(theta)=[(cos, -sin)
(sin, cos)]
1) show that R(theta) is a linear transformation from
R2->R2
2)Show that R(theta) of R(alpha) = R(theta + alpha)
3) Find R(45degrees) [(x),
(y)], interpret it geometrically

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