Question

Find the slope of the tangent line to the curve r = sinO + cosO at O = pi / 4 (O means zeta)

Answer #1

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

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 = 2 cos theta. Determine the slope of
the tangent line at theta = pi/4.

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=3sin3θ at
θ=π/6

find the slope then find the equation of a tangent line that is
tangent to the curve f(x)=x2tan(x) at (pi, 0) (hint: use
product rule)

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

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 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

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