Question

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

Answer #1

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

2)Find the slope of the tangent line to the curve r = sin (O) +
cos (O) at O = pi / 4 (O means theta)
3)Find the unit tangent vector at t = 0 for the curve r (t) =
4sen (t) i + 3tj + cos (t) k
4)A uniform cable measuring 40 feet is hung from the top of a
building. The cable weighs 60 pounds. How much work in foot-pounds
is required to climb 10 feet...

Consider the polar curve r =1 + 2 cos(theta). Find dy dx at
theta = 3 .

Find the slope of the tangent line to the given polar curve at
the point specified by the value of θ.
r = 5 +
4 cos(θ), θ =
π/3

Find the slope of the tangent line to the given polar curve at
the point specified by the value of θ.
r = 3 + 4 cos(θ), θ = π/3

Find the slope of the tangent line to the given polar curve at
the point specified by the value of θ.
r = 9 + 4 cos(θ), θ = π/3

Find the slope of the tangent line to the given polar curve at
the point specified by the value of θ.
r = 9 + 4 cos(θ), θ = π/3

1. Find the slope of the tangent line to
r=2+sin3Θ 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

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

Find the slope of the tangent line at each given polar curve at
each point specified by the values of θ.
r = 8 − sin(θ)
r = 1/θ
r = 9 + 4 cos(θ)
θ = π/3
θ = π
Thank you!

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