Calculus
Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Arc Length
Arc length can be thought of as the distance you would travel if you walked along the path of a curve. Arc length is used in a wide range of real applications. We might be interested in knowing how far a rocket travels if it is launched along a parabolic…
Line Integral
A line integral is one of the important topics that are discussed in the calculus syllabus. When we have a function that we want to integrate, and we evaluate the function alongside a curve, we define it as a line integral. Evaluation of a function along…
Triple Integral
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Chapter 13, Problem 66SP
To determine

To show: that the given force field is conservative and determine the work done when an object moves in the force from the origin to the point (1,0,1) .

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Find the work done by the force F = xyi + (y − x)j over the straight line from (0,0) to (2,2). The amount of work done is (Type an integer or a simplified fraction.)
Consider the conservative force field F = (18x²y+9-y)i + x(6x² - 1)j. Find a function f(x,y) such that F = Vƒ. f = Use this result to find the work done if this force field moves an object from the point (-2,2) along the piecewise linear path to (-1,2), and from there to (0,3). Work =
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Chapter 13 Solutions

Calculus

Ch. 13.1 - Prob. 1PSCh. 13.1 - Prob. 2PSCh. 13.1 - Prob. 3PSCh. 13.1 - Prob. 4PSCh. 13.1 - Prob. 5PSCh. 13.1 - Prob. 6PSCh. 13.1 - Prob. 7PSCh. 13.1 - Prob. 8PSCh. 13.1 - Prob. 9PSCh. 13.1 - Prob. 10PS
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