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Quiz by Dr. Dishant Pandya

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Q 1/4
Score 0
For a given graph, what will be the Fourier series?
29
$-0.25 + 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)).$
None of the above.
$-0.25 - 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)) \newline + cos ((3n\pi/4))* cos (n\pi x/8).$
$-0.25 + 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)) \newline + cos ((3n\pi/4))* cos (n\pi x/8).$

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4 questions

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Q1
For a given graph, what will be the Fourier series?
$-0.25 + 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)).$
None of the above.
$-0.25 - 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)) \newline + cos ((3n\pi/4))* cos (n\pi x/8).$
$-0.25 + 16/\pi^2 \sum_{n=1}^{\infty} 1/n^2 (1 - 2~ cos (n\pi/2)) \newline + cos ((3n\pi/4))* cos (n\pi x/8).$
300s
Q2
300s
Q3
What will be the differential equation of the set of all right circular cones whose axes coincide with the z-axis?
$y\left(\frac{\partial z }{\partial x}\right) = x\left(\frac{\partial z }{\partial y}\right) .$
$x\left(\frac{\partial z }{\partial x}\right) = y\left(\frac{\partial z }{\partial y}\right) .$
Can't be determined from the given information.
$yp+xq=0.$
300s
Q4
30s

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