Please answer question 4 with details on how to do it. Please make handwriting legible. Thank you. 4. Evaluate Ly ds where C is the upper half of circle x2 + y² = 9, traversed in the counterclockwisedirection.5. Evaluateſ, x²y dx + xy² dy where C is given by:x(t) = 3t, y(t) = e', 0

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4. Evaluate y ds where C is the upper half of circle x? + y? = 9, traversed in the counterclockwise direction.

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

Please answer question 4 with details on how to do it. Please make handwriting legible. Thank you.

4. Evaluate Ly ds where C is the upper half of circle x2 + y² = 9, traversed in the counterclockwise
direction.
5. Evaluateſ, x²y dx + xy² dy where C is given by:
x(t) = 3t, y(t) = e', 0 <t< 1
6.
Determine whether the vector field is conservative and, if so, find a potential function.
a. F(x, y) = (6xy)i + (3x² + 6y²)j
b. F(x, y, z) = (y cos z)i + (x cos z)j – (xy sin z)k

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