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…
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Chapter 13.7, Problem 34PS
To determine

To calculate: The value of the surface integral ∬SF→⋅N→ds for F→=xyzi^+xyzj^+xyzk^ and the surface of the box S:0≤x≤1,0≤y≤2,0≤z≤3 .

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2. Let S denote the piece of parabolic surface x2 + y? = z, 0 < z < 4. For the vector field F(x, y, z) = (y + xy, xz, z). calculate the integral (V x F) · n dA where the unit vector n is chosen so that its z component is positive.
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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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