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What is F'(t) if F(t) = overset(t)unders...

What is F'(t) if F(t) = `overset(t)underset(a)inte^(3x).cos2xdx`?

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SHARAM PUBLICATION-QUESTION PAPER 2012-EXERCISE
  1. Mention the values of xfor whichthe function f(x) = x^3-12 x is decrea...

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  2. Evaluate: underset(x rarr0)lim(3x-2ln(1+x))/x

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  3. What is F'(t) if F(t) = overset(t)underset(a)inte^(3x).cos2xdx?

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  4. integrate int(3+cosx+tan^2x)/(2x+sinx+tanx)

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  5. Write the particular solution of the equation (dy)/(dx)=sinx given tha...

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  6. Write the order and degree of the following differential equation d^(2...

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  7. What is the point of intersection of the line x = y = z with the plane...

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  8. To which coordinate axis is the plane 2x+ 3z = 0 parallel ?

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  9. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

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  10. What is the minimum value of n if P(n,2)=90?

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  11. What is the probability of getting a total of utmost 11 when two dice ...

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  12. Determine the maximum value of |[cosx sinx], [-sinx cosx-1]|.

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  13. Write the solution of the following LPP Maximise Z=x+y Subject to ...

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  14. Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx

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  15. Differentiate with resi to x : Y = 2^(x^2) + tan^(-1)((cosx-sinx)/(cos...

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  16. Find ((dz)/(dx))if z = x^cosx.

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  17. Evaluate lim(x to π/2) log(x-π/2)/tan x

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  18. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  19. Integrate: int (cos2x)/(cosx+sinx)dx

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  20. Evaluate: int 2a^(x^(2))xdx

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