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MODERN PUBLICATION-SAMPLE PAPER 2016-EXERCISE
- If p and q are the order and degree of the differential equation y(dy/...
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- If |vec(a)|=3,|vec(b)|=2 and vec(a)*vec(b)=0, then write the value of ...
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- Write the distance between parallel planes 2x-y+3z=4 and 2x-y+3z=18.
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- Write the equation of the sphere concentric with the sphere x^2+y^2+z^...
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- If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both a...
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- If ""^nCr=^nPr,r!=1, then write the value of r.
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- A binomial distribution has mean 4 and variance 3. Write the number of...
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- Find (dy)/(dt), when y=sin^(-1)(2sqrt(t^(2)-1)/(t^(2)))
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- Find dy/dx if x^m y^n = (x/y)^(m+n)
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- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- if u=x^3-3xy^2, show that
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- Find the interval where the following function is increasing: y=sinx...
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- Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)
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- The radius of a spherical soap bubble is increasing at the rate of 0.2...
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- If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).
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- Evaluate : int(logx)^2dx
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- Evaluate: int(2x+9)/(x+3)^2dx
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx
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- Solve dy + e^-y sin x dx = 0.
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