Exercises 3Let f(x) be a function of period 27 such thatf(x) = x in the range – < x < T.a) Sketch a graph of f(r) in the interval -3T < x < 3Tb) Show that the Fourier series for f(x) in the interval -T

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By giving an appropriate value to r, show that 1 1 1 4 3

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Chapter1: Units, Trigonometry. And Vectors

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

Exercises 3
Let f(x) be a function of period 27 such that
f(x) = x in the range – < x < T.
a) Sketch a graph of f(r) in the interval -3T < x < 3T
b) Show that the Fourier series for f(x) in the interval -T <x <T is
1
sin 2.x +
1
sin 3x
3
2 sin x
c) By giving an appropriate value to a, show that
1
= 1
3
1
1
5

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