ExamVeda
Login
Home

Let text f left( text x right) = left begin array...

This question belongs to Engineering Maths Transform Theory
Transform Theory
?

Let \[{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} { - \pi ,\,\,{\text{if}}}&{ - \pi < {\text{x}} \leqslant {\text{0}}} \\ {\pi ,\,\,{\text{if}}}&{0 < {\text{x}} \leqslant \pi } \end{array}} \right.\]     be a periodic function of period 2π. The coefficient of sin5x in the Fourier series expansion of f(x) in the interval [-π, π] is

Answer & Solution
Correct Answer: Option A
Let's discuss the solution. Join the discussion
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Transform Theory

The Laplace transform F(s) of the exponential function. f(t) = eat when t ≥ 0, where a is a constant and (s - a) > 0, is
A. $$\frac{1}{{{\text{s}} + {\text{a}}}}$$ B. $$\frac{1}{{{\text{s}} - {\text{a}}}}$$ C. $$\frac{1}{{{\text{a}} - {\text{s}}}}$$ D. $$\infty $$
Evaluate $$\int\limits_0^\infty {\frac{{\sin {\text{t}}}}{{\text{t}}}{\text{dt}}} $$
A. $$\pi $$ B. $$\frac{\pi }{2}$$ C. $$\frac{\pi }{4}$$ D. $$\frac{\pi }{8}$$
If the Laplace transform of $${{\text{e}}^{\omega {\text{t}}}}$$  is $$\frac{1}{{{\text{s}} - \omega }},$$  the Laplace transform of tcosh t is
A. $$\frac{{1 + {{\text{s}}^2}}}{{{{\left( {{{\text{s}}^2} - 1} \right)}^2}}}$$ B. $$\frac{{{\text{st}}}}{{\left( {{{\text{s}}^2} - 1} \right)}}$$ C. $$\frac{{1 - {{\text{s}}^2}}}{{{{\left( {{{\text{s}}^2} - 1} \right)}^2}}}$$ D. $$\frac{{1 + {{\text{s}}^2}}}{{1 - {{\text{s}}^2}}}$$
The function f(t) satisfies the differential equation $$\frac{{{{\text{d}}^2}{\text{f}}}}{{{\text{d}}{{\text{t}}^2}}} + {\text{f}} = 0$$   and the auxiliary conditions, f(0) = 0, $$\frac{{{\text{df}}}}{{{\text{dt}}}}\left( 0 \right) = 4.$$  The Laplace transform of f(t) is given by
A. $$\frac{2}{{{\text{s}} + 1}}$$ B. $$\frac{4}{{{\text{s}} + 1}}$$ C. $$\frac{4}{{{{\text{s}}^2} + 1}}$$ D. $$\frac{2}{{{{\text{s}}^2} + 1}}$$
More Related Questions on Transform Theory