EP CALCULUS:EARLY TRANS.-MYLABMATH ACC.
EP CALCULUS:EARLY TRANS.-MYLABMATH ACC.
3rd Edition
ISBN: 9780135873311
Author: Briggs
Publisher: PEARSON CO
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Chapter C, Problem 4E

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Complex operations Let z = − 2 + 5i and w = 3 4i. Compute the following quantities.

4. w 3

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1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.
2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential function (x, y, z) for F. Remark: To find o, you must use the method explained in the lecture. (B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on an object moves along any path from (0,1,2) to (2, 1, -8).
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EP CALCULUS:EARLY TRANS.-MYLABMATH ACC.

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