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i. Find inverse of
engineering mathematics updated 6.2 years ago by parviagrawal100 • 0
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Find ged (2378, 1769) using Euclidean Algorithm. Also find x & y such that
engineering mathematics updated 6.2 years ago by parviagrawal100 • 0
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Show that ......
engineering mathematics updated 6.2 years ago by parviagrawal100 • 0
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Find smallest positive integer moduls 5 to which
engineering mathematics updated 6.2 years ago by parviagrawal100 • 0
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Explain Homogeneous Coordinates
engineering mathematics updated 6.6 years ago by teamques10 ★ 70k
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Prove that $J_{\frac{3}{2}}(x) = \sqrt{\bigg(\frac{2}{\pi x}\bigg)\bigg(\frac{sinx}{x} - cosx\bigg)}$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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If $f(x) = C_{1}Q_{1}(x) + C_{2}Q_{2}(x) + C_{3}Q_{3}(x)$ where $C_{1}, C_{2}, C_{3}$ are constants and $Q_{1}, Q_{2}, Q_{3}$ are orthogonal set on (a,b) show the following:
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Obtain complex form of Fourier's series for the function $f(x) = sinax$ in $(-\pi, \pi)$ where a is not an integer.
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find half range cosine series of $f(x) = sinx$ in $(0, \pi)$ Hence deduce that $\frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} +..... = \frac{1}{2}$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find half range sine series for $f(x) = \pi x - x^2$ is $(0, \pi)$ Hence deduce that $\frac{\pi^3}{32} = 1 - \frac{1}{3^3} + \frac{1}{5^3} - \frac{1}{7^3}$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Obtain the Fourier series of f(x) given by $$f(x) = 0 \hspace{1cm} -\pi \leq x \leq 0 $$ $$ = x^2 \hspace{1cm} 0 \leq x \leq \pi$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Obtain complex form of fourier for f(x) = $e^{ax}$ in (-1, 1)
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Obtain half range sine series for $f(x) = x^2$ 0<x<3
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Show that the set of functions {sinx, sin3x, ---} OR {sin(2n + 1)x; n = 0,1,2...} is orthogonal over $(0, \frac{\pi}{2}$, Hence construct orthogonal set of functions.
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find the Fourier series expansion for $f(x) = \sqrt{1 - cosx}$ in $(0, 2\pi)$, Hence deduce that $\frac{1}{2} = \sum\frac{1}{4n^2 - 1}$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find Inverse Laplace Transform of $$(1) log\bigg[\frac{s^2 + 4}{s^2 +9}\bigg]$$ $$(2) \frac{s}{(s^2 + 4)(s^2 + 9)}$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find Inverse Laplace Transform of $$\frac{s + 2}{s^2 - 4s + 13}$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find Inverse Laplace Transform $$ \frac{s^2}{(s^2 + a^2)(s^2 + b^2)}$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Using convolution theorem, evaluate $L^{-1}\bigg[\frac{1}{(s - 1)(s^2 + 4)}\bigg]$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find Inverse Laplace Transform of $$(1) \frac{1}{s} tanh^{-1}(s)$$ $$(2) \frac{se^{-2s}}{s^2 + 2s + 2}$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find Inverse Laplace Transform of $$ (1) log \bigg (\frac{s^2 + 4}{s^2 + 9} \bigg) $$ $$ (2) \frac{s}{(s^2 + 4)(s^2 + 9)}$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Solve by using Laplace transform $$(D^2 + 2D + 5)y = e^{-t}sint$$ when y(0) = 0 y'(0) = 1
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Solve using Laplace Transform $t\sqrt{1 + sint}$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Find the Laplace transform of the following $$ e^{-t}\int\limits_{0}^{t}\frac{sinu}{u}du$$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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Evaluate by using Laplace transformation $\int\limits_{0}^{\infty}e^{-3t}tcostdt$
engineering mathematics updated 6.7 years ago by teamques10 ★ 70k
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