Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 6.10, Problem 3P

Evaluate each of the integrals in Problems 3 to 8 as either a volume integral or a surface integral, whichever is easier.

∫ ∫ r . n d σ over the whole surface of the cylinder bounded by and x 2 + y 2 = 1 , z = 0 , and z = 3 ; r means ix + j y + k z .

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Chapter 6.10, Problem 2P

Chapter 6.10, Problem 4P

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1. a. Graph the equations y = x²,y = 4and shade the region in the first quadrant bounded by the two equations. Label all important points on the graph. b. Set up the integral(s) that represent the area shaded in part a, with respect to x. с. Set up the integral(s) that represent the area shaded in part a, with respect to y. d. Integrate your integrals from parts c and d and show that the two integrals give the same area.

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Chapter 6 Solutions

Mathematical Methods in the Physical Sciences

Ch. 6.3 - If A=2ijk,B=2i3j+k,C=j+k, find (AB)C,A(BC),(AB)C,...Ch. 6.3 - For Problems 2 to 6, given A=i+j2k,B=2ij+3k,C=j5k:...Ch. 6.3 - For Problems 2 to 6, given A=i+j2k,B=2ij+3k,C=j5k:...Ch. 6.3 - For Problems 2 to 6, given A=i+j2k,B=2ij+3k,C=j5k:...Ch. 6.3 - For Problems 2 to 6, given A=i+j2k,B=2ij+3k,C=j5k:...Ch. 6.3 - For Problems 2 to 6, given A=i+j2k,B=2ij+3k,C=j5k:...Ch. 6.3 - A force F=2i3j+k acts at the point (1,5,2). Find...Ch. 6.3 - Prob. 8P Ch. 6.3 - Prob. 9P Ch. 6.3 - In Figure 3.5, let r be another vector from O to...

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