A) Find the equation of the tangent line to r = 9cos(5θ) when θ
=
π/2...
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.
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.
(a) Find the equation of a plane π that contains the line in the
intersection of the planes x+y+3z =
2andx−y+z=1andtheorigin. Howmanysuchplanesarethere?
(b) What if instead of the origin we ask for the plane
containing the same line and the point
(0, −1/4, 3/4)? What changes?
(c) Back to the plane π you found in item a, let Rπ be the
reflection across π. Pick an explicit