One variable calculus for non majors UE Past Papers Questions.


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(1876) Question Category: Mathematical Calculation

Find the aarea of the region bounded by line y=x-1 and parabola y^{2}=2x+6.

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(1877) Question Category: Mathematical Calculation

The region bounded by thhe  curve y=x and y=x^{2}  is rotated about the y-axis. Find the vvolume of the resuulting solid.

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(1878) Question Category: Mathematical Calculation

Solve the differrential equation  frac{dy}{dx}=frac{2x+y-1}{4x+2y-4}.

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(1879) Question Category: Mathematical Calculation

Use the method of Frobenius to detemine the inducial equation of 2x^{2}frac{d^{2}y}{dx^{2}}-xfrac{dy}{dx}+(1-x)y=0.

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(1880) Question Category: Mathematical Calculation

  1. Sketch and find the Fourier series expansion of the function f(x) given by

f(x)=left{egin{matrix} -k ,&-pi <x<0 \ k, & 0<x<pi end{matrix} ight.

With f(x+2pi)=f(x)

  1. If in the Fourier series of the questions (a) above ,k>0 deduce a series for frac{pi}{4} at the point x=frac{pi}{2}.

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