Finding the Equation of a Tangent Line to a Curve In Exercises 27-32, find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point.
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Calculus: Early Transcendental Functions
- True or False? In Exercises 115-117, determine whether the statement is true or false. Justify your answer. Only one set of parametric equations can represent the line y=32x.arrow_forwardSketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve represented by the parametric equations (indicate the orientation of the curve). Use a graphing utility to confirm your result. (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Adjust the domain of the resulting rectangular equation, if necessary. 15. x = 3t 3, y = 2t + 1arrow_forwardSketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter x-2, y-t ++ -1 0.5 05 05- -05- 0.5 + --05arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning