(a) Find the slope of the tangent line to the trochoid x = r d sin...

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(a) Find the slope of the tangent line to the trochoid x = r θ – d sin θ, y = r – d cos θ in terms of θ. (See Exercise 38 in Section 10.1.)
(b) Show that if d < r, then the trochoid does not have a vertical tangent.
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