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MODERN PUBLICATION-SAMPLE PAPER 2013-EXERCISE
- Write the value of int(frac{π}{4})^(frac{π}{2}) sin^(5)xcosxdx.
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- Write the degree of the differential equation In((d^(2)y)/(dx^(2)))...
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- If the vectors veca = 2hati + 3hatj +-6hatk and vecb = alphahati-hatj ...
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- Write theequationofthelinepassing through the point (4, —6,1) and para...
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- What is the image of the point (—2, 3, —5) respect to the zx-plane ?
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- Write the matrix which when added to the matrix [{:(2,-3),(-4,7):}]gi...
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- write the value of c(1)^(8) + c(2)^(8) +.....+ c(8)^(8).
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- If P(A) = 0.6, P(B) = 0.4 and P(A nn B) = 0.2, then fimd the value of ...
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- Find the derivative of x^(sinx) w.r.t.x.
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- Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...
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- Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1...
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- If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a
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- Find the extreme values of the function y = X + 1/x.
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- Find the intervals where the following functions are (a) increasing an...
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- Integrate : int (sin6x + sin4x) / (cos6x + cos4x) dx.
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- Evaluate the following integrals : int(dx)/(x[(logx)^(2)+25])
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- Integrate : int sin^(-1)xdx.
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- Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx
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- solve , dy/dt = e^((2t)+(3y)).
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- solve , dy/dx + y = e^(-x).
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