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x= In(e), y= Vt t2 64 Exercise (a) Eliminate the parameter to find a Cartesian equation of the curve. Step 1 To eliminate the parameter and find the Cartesian equation, we solve for t in terms of x and then substitute for t in the equation for y. We are given that x= In(t). Solving this for t, we have

x= In(e), y= Vt t2 64 Exercise (a) Eliminate the parameter to find a Cartesian equation of the curve. Step 1 To eliminate the parameter and find the Cartesian equation, we solve for t in terms of x and then substitute for t in the equation for y. We are given that x= In(t). Solving this for t, we have

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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eliminate the parameter to find a Cartesian equation of the curve. Sketch graph 

 

x = In(t), y = V t2 64 Exercise (a) Eliminate the parameter to find a Cartesian equation of the curve. Step 1 To eliminate the parameter and find the Cartesian equation, we solve for t in terms of x and then substitute for t in the equation for y. We are given that x = In(t). Solving this for t, we have Step 2 We can now substitute for t in y to find the Cartesian equation. Submit Skip (you cannot come back) Exercise (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. Step 1 Notice that both x and y are positive and increasing. Select the correct graph.
Transcribed Image Text:x = In(t), y = V t2 64 Exercise (a) Eliminate the parameter to find a Cartesian equation of the curve. Step 1 To eliminate the parameter and find the Cartesian equation, we solve for t in terms of x and then substitute for t in the equation for y. We are given that x = In(t). Solving this for t, we have Step 2 We can now substitute for t in y to find the Cartesian equation. Submit Skip (you cannot come back) Exercise (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. Step 1 Notice that both x and y are positive and increasing. Select the correct graph.
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