 7.1: s = 3 cos 5t
 7.2: s = 2 sin(4t 1)
 7.3: s = 1 2 cos(t 8)
 7.4: s = 5 sin(t )
 7.5: s = 2 sin 3t cos 3t
 7.6: s = 3 sin(2t + /8) + 3 sin(2t /8)
 7.7: z = 5e it
 7.8: z = 2e it/2
 7.9: z = 2e it
 7.10: z = 4ei(2t+3)
 7.11: The charge q on a capacitor in a simple ac circuit varies with tim...
 7.12: Repeat 11: (a) if q = Re 4e30it; (b) if q = Im 4e30it.
 7.13: A simple pendulum consists of a point mass m suspended by a (weight...
 7.14: The displacements x of two simple pendulums (see 13) are 4 sin(t/3)...
 7.15: As in 14, the displacements x of two simple pendulums are x = 2 cos...
 7.16: As in 14, let the displacements be y1 = 3 sin(t/2) and y2 = sin t. ...
 7.17: Show that equation (2.10) for a wave can be written in all these fo...
 7.18: y = 2 sin 2 3 (x 3t); t = 0, 1 4 , 1 2 , 3 4 ; x = 0, 1, 2, 3.
 7.19: y = cos 2(x 1 4 t); t = 0, 1, 2, 3; x = 0, 1 4 , 1 2 , 3 4 .
 7.20: y = 3 sin (x 1 2 t); t = 0, 1, 2, 3; x = 0, 1 2 , 1, 3 2 , 2.
 7.21: Write the equation for a sinusoidal wave of wavelength 4, amplitude...
 7.22: Do for a wave of amplitude 4, period 6, and wavelength 3. Make comp...
 7.23: Write an equation for a sinusoidal sound wave of amplitude 1 and fr...
 7.24: The velocity of sound in sea water is about 1530 m/sec. Write an eq...
 7.25: Write an equation for a sinusoidal radio wave of amplitude 10 and f...
 7.26: f(x) = ( 3x2 + 2x3, 1
 7.27: f(x) = ( 3x2 + 2x3, 1
 7.28: f(x) = ( 1, 2 4
 7.29: f(x) = 8 >< >: 1, 0 3
 7.30: f(x) = ( 1 x/2, 0 2
 7.31: f(x) as in Figure 12.1. Hint: Integrate by parts and use (12.18) to...
 7.32: f(x) and g() as in 21.
 7.33: f(x) and g() as in 24a.
 7.34: Show that if (12.2) is written with the factor 1/ 2 multiplying eac...
 7.35: Starting with the symmetrized integrals as in 34, make the substitu...
 7.36: Normalize f(x) in 21; that is find the factor N so that R Nf(x) 2...
Solutions for Chapter 7: Fourier Series and Transforms
Full solutions for Mathematical Methods in the Physical Sciences  3rd Edition
ISBN: 9780471198260
Solutions for Chapter 7: Fourier Series and Transforms
Get Full SolutionsThis textbook survival guide was created for the textbook: Mathematical Methods in the Physical Sciences, edition: 3. Chapter 7: Fourier Series and Transforms includes 36 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Mathematical Methods in the Physical Sciences was written by and is associated to the ISBN: 9780471198260. Since 36 problems in chapter 7: Fourier Series and Transforms have been answered, more than 8031 students have viewed full stepbystep solutions from this chapter.

//
parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
Fahrenheit degree