Let r(t) = (x(t), y(t)) trace a plane curve C. Assume that x'(t 0 ) 0.
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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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