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Find (dy)/(dx) if y = 10^(ln sinx)...

Find `(dy)/(dx)` if `y = 10^(ln sinx)`

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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
  1. A bag contains 7 white and 9 black balls. If a ball is drawn at random...

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  2. Find (dy)/(dx) if y = logtan^(-1)x+e^(2x).

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  3. Find (dy)/(dx) if y = 10^(ln sinx)

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  4. Evaluate overset(lim)(xrarrpi/2)(secx-tanx)

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  5. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  6. State Cauchy's mean value theorem.

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  7. Integrate: int(e^(2x)-4x^(3))dx

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  8. Find by integration the area bounded by the straight lines y=0,y=x and...

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  9. Evaluate: overset(4)underset(0)int sqrtx dx

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  10. Reduce the following to a linear differential equation x(dy)/(dx)+y=...

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  11. Write the integrating factor of the differential equation (x - lny)(dy...

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  12. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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  13. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  14. Find the area of the parallelogram whose diagonals are vectors 3hati+h...

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  15. Determine the value of m, for which the following vectors are orthogon...

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  16. find the equation to the plane passing through the line x=y=z and the ...

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  17. Find the image of the point (-2,0,3) with respect to the plane y = 3.

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  18. Shade the feasible region for the inequations 2x+3yle6,xge0,yge0 in a ...

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  19. Find n and x, given that: (1+x)^n =1+3/4+((3)(5))/((4)(8))+((3)(5)(7...

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  20. Prove that: A = ([3,1],[-1,2]) impliesA^2-5A+7I =0.

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