Question

1. Find the slope of the tangent line to
r=2+sin3**Θ** at the point where
**Θ**=pi/4 **Θ=theta**

**2. Find the area of the region that lies inside the
curve r=4*sinΘ and outside the curve r=2**

Answer #1

1. Find the slope of the tangent line to r=2+sin30 at the point
where Θ=pi/4
2. Find the area of the region that lies inside the curve
r=4*sinΘ and outside the curve r=2

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

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

Consider the polar curve r = 2 cos theta. Determine the slope of
the tangent line at theta = pi/4.

given the polar curve r = 2(1+cos theta) find the Cartesian
coordinates (x,y) of the point of the curve when theta = pi/2 and
find the slope of the tangent line to this polar curve at theta =
pi/2

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_____

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

Find all theta from (-pi,pi) for which the tangent line of
r=tan(theta/2) is horizontal.
I have gotten to
1/2sec^2(theta/2)*sin(theta)+tan(theta/2)*cos(theta)=0
How do I solve for 0?

Find the slope of the tangent line to the curve r=3sin3θ at
θ=π/6

Find the slope of the tangent line to the given polar curve at
the point specified by the value of θ.
r = 4 sin(θ), θ = π/6

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