Theory and Examplesa. Find a curve with a positive

Chapter 6, Problem 23E

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QUESTION:

Problem   23E

Theory and Examples

a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation 3) is

b. How many such curves are there? Give reasons for your answer.

Questions & Answers

QUESTION:

Problem   23E

Theory and Examples

a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation 3) is

b. How many such curves are there? Give reasons for your answer.

ANSWER:

Problem   23E

Theory and Examples

a. Find a curve with a positive derivative through the point (1, 1) whose length integral (Equation 3) is

b. How many such curves are there? Give reasons for your answer.

Solution:

Step 1 of 3

In this problem, we have to find a curve with positive derivative through the point , whose length integral is

.


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