Question

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(

Answer #1

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

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

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!

Find an equation of the tangent line to the curve at the given
point. A) y = 6x + 3 cos x, P = (0, 3) B)y = 8 x cos x P = \(pi ,
-8 pi)
B)Find an equation of the tangent line to the curve at the given
point.
y = 8 x cos x
C)
If H(θ) = θ cos θ, find H'(θ) and H''(θ).
find H'(
θ)
and H"(θ)

4)
Consider the polar curve r=e2theta
a) Find the parametric equations x = f(θ), y =
g(θ) for this curve.
b) Find the slope of the line tangent to this curve when
θ=π.
6)
a)Suppose r(t) = < cos(3t), sin(3t),4t
>.
Find the equation of the tangent line to r(t)
at the point (-1, 0, 4pi).
b) Find a vector orthogonal to the plane through the points P
(1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...

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

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

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

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