Question

In this exercise, find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results.

x=t2t+2,y=t33tx=t^2-t+2, \quad y=t^3-3 t

Solution

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Answered 1 year ago
Answered 1 year ago
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Recall that the points of horizontal tangency to the curve are the points in which the derivative dydx\dfrac{dy}{dx} is equal to 00.

Recall that the points of vertical tangency to the curve are the points in which the derivative dydx\dfrac{dy}{dx} is undefined.

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