Answered: 2. (Section 17.3) Given the vector… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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2. (Section 17.3) Given the vector field 7³ (2, y, z) — (In z + sex²(x + y))i + (x²(x + y) +5² +2²) ³+√² + 2²k,
=
(a) Show that is conservative.
(b) Find the potential function f(x, y, z).
(e) Find the work done by in moving a particle along a path from (1,0, 1) to (2,1,0).

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