Question

Find the are of the region between the r *= 1 + sinθ and r =
1 + cosθ cardioid?*

Answer #1

2. Find the area of the region that lies inside the curve r=3
sinθ and outside of the curve r= 1+sinθ

Find the length of the r = 1+ cosθ cardioid between 0 ≤ θ ≤ π.

Find the slope of the tangent line to the curve r = sinΘ + cosΘ
at Θ = pi/4

What is the area of the region common to two regions bounded by
circle r=3, and a cardioid r=3(1+sinθ)?

The tangent line to the cycloid x=r (θ -sinθ) y=r (1-cosθ) with
r=1.21at θ =π/4 has a slope of_____ and the y-intercept_____

The y-intercept of the tangent line to the cycloid x=r (θ-sinθ)
y=r(1-cosθ) with r = 2.01 at the point where θ=π/3 is____. ( Keep
three decimal places.)

determine
the value of a for which the area of the region bounded by the
cardioid r=a(1-cosΘ) is equal to 9π square units; The arc length of
the cardioid

Find the area of the region within the cardioid r = 1 − cos θ
for θ ∈ [0, π /2]

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.

a)Find the length of half cardioid r = 2-2costheta
b)Find the area of the region that is within r = a (1+ cos
theta) and outside r = a (cos theta)

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