A) Find the equation of the tangent line to r = 9cos(5θ) when θ
=
π/2
B)Find the points on the polar curve r = 1 + cos(θ) where the
tangent line is horizontal.
1. Find an equation for the line in the xy−plane that is tangent
to the curve at the point corresponding to the given value of t.
Also, find the value of d^2y/dx^2 at this point. x=sec t, y=tan t,
t=π/6
2. Find the length of the parametric curve: x=cos t, y=t+sin t,
0 ≤ t ≤ π. Hint:To integrate , use the identity, and
complete the integral.
Find the equation of the tangent line to the curve at the point
corresponding to the given value of t
1. x=cost+tsint, y=sint-tcost t=7pi/4
2. x=cost+tsint, y=sint-tcost t=3pi/4?
Find the equation of the tangent line to the curve
y=5sec(x)−10cos(x) at the point (π/3,5). Write your answer in the
form y=mx+b where m is the slope and b is the y-intercept.