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 7.4, Problem 3P

In Problems 3 to 12, find the average value of the function on the given interval. Use equation (4.8) if it applies. If an average value is zero, you may be able to decide this from a quick sketch which shows you that the areas above and below the x axis are the same.

sin x + 2 sin 2 x + 3 sin 3 x on ( 0 , 2 π )

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Chapter 7.4, Problem 2P

Chapter 7.4, Problem 4P

Students have asked these similar questions

I am having trouble with my practice probs. In the proof of the derivative of sine and cosine, we used the angle-sum identities for sine and cosine. Use these identities, together with the special angle values you should know by heart (sine and cosine of π/3, π/4, and π/6), to compute the sine and cosine of π/12 (= 15◦ )

A gauge at the end of a pier measures and tracks the water depth d (in feet) over time. Regression analysis was performed to fit a trigonometric function to the data. The function d(t) models the depth of the water over time, d(t) = 11 sin(0.406t) + 21 where t represents the number of hours past midnight and 0 ≤ t ≤ 24. High tide occurs twice in a day. After how many hours will the second high tide occur? O 3.87 hours O 15.48 hours O 19.35 hours O 23.21 hours

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Chapter 7 Solutions

Mathematical Methods in the Physical Sciences

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