Now solved: True or False In Exercises 95100, determine whether the statement is true or
Chapter 10, Problem 97(choose chapter or problem)
Cycloid Use the parametric equations
\(x=a(\theta-\sin \theta)\ \text{and}\ y=a(1-\cos \theta),\ \ a\ >\ 0\)
to answer the following.
(a) Find dy/dx and \(d^2y/dx^2\).
(b) Find the equation of the tangent line at the point where \(\theta=\pi/6\)
(c) Find all points (if any) of horizontal tangency.
(d) Determine where the curve is concave upward or concave downward.
(e) Find the length of one arc of the curve.
Text Transcription:
x=a(theta - sin theta) and y=a(1-cos theta), a > 0
d^2 y/dx^2
theta = pi/6
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