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Write the derivation of e^(3logx) with r...

Write the derivation of `e^(3logx)` with respect to `x^(2)`.

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SHARAM PUBLICATION-QUESTION PAPER 2013-EXERCISE
  1. Write the derivation of e^(3logx) with respect to x^(2).

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  2. Write the maximum value of the function y = x^(5) in the interval [1, ...

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  3. Write the values of int(1-sin^(3)x)/(sin^(2)x) dx.

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  4. Write the degree of the differential equation In((d^(2)y)/(dx^(2)))...

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  5. If the vectors veca = 2hati + 3hatj +-6hatk and vecb = alphahati-hatj ...

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  6. Write theequationofthelinepassing through the point (4, —6,1) and para...

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  7. What is the image of the point (—2, 3, —5) respect to the zx-plane ?

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  8. Write the matrix which when added to the matrix [[2,5],[-1,3]] gives t...

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  9. write the value of c(1)^(8) + c(2)^(8) +.....+ c(8)^(8).

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  10. 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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  11. Find the derivative of sinx^(x) with respect to x.

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  12. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

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  13. Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1...

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  14. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  15. Find the extreme values of the function y = X + 1/x.

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  16. Integrate: int sqrt(1-cos2x)dx

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  17. Integrate: int a^(x+2)dx

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  18. Integrate: int cosx/sin^(5)xdx

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  19. Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx

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  20. Solve (dy)/(dx) = e^(2x+3y).

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