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Let C1 be the curve r(x)= (x − lnx )i + (x +lnx )j, 1<=x<=e, and let C2 be the curve of y=et, 0<=t<=1. Find a relation between the length L1 of C1, and the length L2 of C2.

Let C1 be the curve r(x)= (x − lnx )i + (x +lnx )j, 1<=x<=e, and let C2 be the curve of y=et, 0<=t<=1. Find a relation between the length L1 of C1, and the length L2 of C2.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
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Let C1 be the curve r(x)= (x − lnx )i + (x +lnx )j, 1<=x<=e, and

let C2 be the curve of y=et, 0<=t<=1.

Find a relation between the length L1 of C1, and the length L2 of C2.

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