**pranaliraval**

pranaliraval •

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#### Latest awards to pranaliraval

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find Laplace Transform of $\frac{cosbt - cosat}{t}$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find the Laplace transform of $\frac{d}{dt}\bigg(\frac{1 - cos2t}{t}\bigg)$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find Inverse Laplace Transform $$ \frac{s^2}{(s^2 + a^2)(s^2 + b^2)}$$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find the Fourier series expansion for $f(x) = \sqrt{1 - cosx}$ in $(0, 2\pi)$, Hence deduce that $\frac{1}{2} = \sum\frac{1}{4n^2 - 1}$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Obtain half range sine series for $f(x) = x^2$ 0

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find half range sine series for $f(x) = \pi x - x^2$ is $(0, \pi)$ Hence deduce that $\frac{\pi^3}{32} = 1 - \frac{1}{3^3} + \frac{1}{5^3} - \frac{1}{7^3}$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find half range cosine series of $f(x) = sinx$ in $(0, \pi)$ Hence deduce that $\frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} +..... = \frac{1}{2}$

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Find the constants a,b,c so that $\bar{F} = (x + 2y + az)\hat{i} + (bx - 3y - z)\hat{j} + (4x + cy + 2z)\hat{k}$ is irrotational

Popular Question
3.6 years ago,
created a question with more than 1,000 views.
For Prove that the angle between two surface $x^2 + y^2 + z^2 = 9$ and $x^2 + y^2 - z = 3$ at the point (2, -1, 2) is $cos^{-1}\bigg(\frac{8}{3\sqrt{21}}\bigg)$