Consider the plane curve C ∶ r(t)=(1/3t^3, 1/2t^2) (a)Make a table of values and sketch the curve for −1 ≤ t ≤ 3. (b)Determine the length of the curve over the interval [ 0 , 2 ] by evaluating a parametric integral.

Consider the plane curve C ∶ r(t)=(1/3t^3, 1/2t^2) (a)Make a table of values and sketch the curve for −1 ≤ t ≤ 3. (b)Determine the length of the curve over the interval [ 0 , 2 ] by evaluating a parametric integral.

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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Question

Consider the plane curve C ∶ r(t)=(1/3t^3, 1/2t^2)
(a)Make a table of values and sketch the curve
for −1 ≤ t ≤ 3.
(b)Determine the length of the curve over the interval [ 0 , 2 ] by evaluating
a parametric integral.

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