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Write the value of: overset(pi/2)underse...

Write the value of: `overset(pi/2)underset(0)int (sin x)/(sinx +cos x)(dx)-overset(pi/2)underset(0)int(cos x)(sin x+cos x)(dx)`

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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
  1. Write that condition of Rolle’s theorem which is violated by the funct...

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  2. Write the value of: overset(pi/2)underset(0)int (sin x)/(sinx +cos x)(...

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  3. If p and q are the order and degree of the differential equation y((dy...

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  4. If p and q are the order and degree of the differential equation y((dy...

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  5. If p and q are the order and degree of the differential equation y((dy...

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  6. If |vec(a)|=3,|vec(b)|=2 and vec(a)*vec(b)=0, then write the value of ...

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  7. Write the distance between parallel planes 2x-y+3z=4 and 2x-y+3z=18.

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  8. Write the equation of the sphere concentric with the sphere x^2+y^2+z^...

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  9. If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both a...

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  10. If ""^nCr=^nPr,r!=1, then write the value of r.

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  11. A binomial distribution has mean 4 and variance 3. Write the number of...

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  12. Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))

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  13. Find dy/dx, if x^my^n=(x/y)^(m+n)

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  14. If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...

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  15. If u= x^3-3xy^2, show that (del^2u)/(delx^2)+(del^2u)/(dely^2)=0

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  16. Find the intervals where the following functions are (a) increasing an...

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  17. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  18. The radius of a spherical soap bubble is increasing at the rate of 0.2...

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  19. If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

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  20. Evaluate int (log x)^2 dx

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