Solution Found!
Changing orientation Let f(x, y) = x and let C be the
Chapter 13, Problem 55E(choose chapter or problem)
Changing orientation Let \(f(x, y)=x\) and let C be the segment of the parabola \(y=x^{2}\) joining O(0, 0) and P(1, 1).
a. Find the parameterization of C in the direction from O to P. Evaluate \(\int_{C} f d s\).
b. Find the parameterization of C in the direction from P to O. Evaluate \(\int_{C} f d s\).
c. Compare the results of (a) and (b).
Questions & Answers
QUESTION:
Changing orientation Let \(f(x, y)=x\) and let C be the segment of the parabola \(y=x^{2}\) joining O(0, 0) and P(1, 1).
a. Find the parameterization of C in the direction from O to P. Evaluate \(\int_{C} f d s\).
b. Find the parameterization of C in the direction from P to O. Evaluate \(\int_{C} f d s\).
c. Compare the results of (a) and (b).
ANSWER:Solution 55E
Step 1