(559,#25) a) Find the slope of the tangent line to the trochoid
in terms of .
b) Show that if r>d>0, then the trochoid doesn't have a vertical tangent.
Solution: a)
b) Suppose there is a vertical tangent. Then
But, if r>d>0 then
= r/d > 1, a contradiction has been reached.
So there is no vertical tangent.
.
b) Show that if r>d>0, then the trochoid doesn't have a vertical tangent.
= r/d > 1, a contradiction has been reached.
So there is no vertical tangent.