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Whatis F'(x) if F(x) = overset(x)underse...

Whatis `F'(x) if `F(x) = `overset(x)underset(0)int e^(2t)sin3t dt`?

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SHARAM PUBLICATION-QUESTION PAPER 2011-EXERCISE
  1. Which condition of Rolle's theorem is violated by the functionf(x) = s...

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  2. int(cot xdx)/(ln sin x) = ?

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  3. Whatis F'(x) if F(x) = overset(x)underset(0)int e^(2t)sin3t dt?

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  4. Integrate int(dx)/(cos^2x.sin^2x)

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  5. Write the order of the differential equation whose general solution is...

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  6. Write the particular solution of the equation (dy)/(dx) = sinx for wh...

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  7. Write a vector normal to hati+hatk and hati+hatj.

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  8. Write the values of m and n for which the vectors (m-1)hat(i) + (n+2)h...

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  9. How many independent constants are there in the general equation of a ...

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  10. Determine the values of a,b and h for which the equation ax^2+2hxy+by^...

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  11. Write the maximum value of x+y subject to 2x+4yle6,xge0,yge0.

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  12. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  13. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

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  14. Find r if: 16P(15,r)= 13P(16,r)

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  15. Determine the middle term in the expansion of (1/3a+1/3b)^8.

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  16. A bag contains 7 white and 9 black balls. If a ball is drawn at random...

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

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

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

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

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