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Consider the parametric curve with equations x = t², y = t³ — 3t. (a) Find dy/dx. (Your answer should be in terms of the parameter t.) (b) Find the equations of the two tangent lines to the curve at the point (3,0). (c) Find d²y/dx². (Your answer should be in terms of the parameter t.)

Consider the parametric curve with equations x = t², y = t³ — 3t. (a) Find dy/dx. (Your answer should be in terms of the parameter t.) (b) Find the equations of the two tangent lines to the curve at the point (3,0). (c) Find d²y/dx². (Your answer should be in terms of the parameter t.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the parametric curve with equations x = t², y = t³ – 3t. X (a) Find dy/dx. (Your answer should be in terms of the parameter t.) (b) Find the equations of the two tangent lines to the curve at the point (3,0). (c) Find d²y/dx². (Your answer should be in terms of the parameter t.) (d) Determine when (i.e., for which values of t) the curve is concave up.
Transcribed Image Text:Consider the parametric curve with equations x = t², y = t³ – 3t. X (a) Find dy/dx. (Your answer should be in terms of the parameter t.) (b) Find the equations of the two tangent lines to the curve at the point (3,0). (c) Find d²y/dx². (Your answer should be in terms of the parameter t.) (d) Determine when (i.e., for which values of t) the curve is concave up.
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