Use a graphing utility to graph the curve represented by the parametric equations x = t2 − t + 2, y = t3 − 3t , (a) use a graphing utility to find dx/dt, dy/dt, and dy/dx at the given value of the parameter t = −1, (b) find an equation of the tangent line to the curve at the given value of the parameter, and (c) use a graphing utility to graph the curve and the tangent line from part (b)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 6E
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Use a graphing utility to graph the curve represented by the parametric equations x = t2 − t + 2, y = t3 − 3t , (a) use a graphing utility to find dx/dt, dy/dt, and dy/dx at the given value of the parameter t = −1, (b) find an equation of the tangent line to the curve at the given value of the parameter, and (c) use a graphing utility to graph the curve and the tangent line from part (b)

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