Let r(t) = x(t), y(t) trace a plane curve C. Assume that x (t0) = 0. Show that the slope

Chapter 13, Problem 67

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Let r(t) = x(t), y(t) trace a plane curve C. Assume that x (t0) = 0. Show that the slope of the tangent vector r (t0) is equal to the slope dy/dx of the curve at r(t0).

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