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MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE
- If underset(n)(I) is an identity matrix of order n, then k being a nat...
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- Write the number of ways in which 5 boys and 5 girls can sit around a ...
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- One card is drawn from a pack of 52 cards.Write the probability that t...
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- Write the equation of the plane meeting the coordinate axes in A,B and...
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- Write the value of int0^1{x}dx where {x} stands for fractional part of...
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- It the vectors vec(a), vec(b) and vec(c) form the sides vec(BC), vec(C...
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- Write the interval in which the function sin^2x-x is increasing.
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- Verify Cauchy's mean value for the functions f(x)=sinx, g(x)=cosx in [...
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- Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...
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- If U=ln(x^3+y^3+z^3-3xyz), show that frac[deltau][deltax]+frac[deltau...
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- Evaluate:underset(xto1)(lim)1/x^(1-x)
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- If y=x^4e^(2x),then find,dy/dx.
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- If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...
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- What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...
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- Solve the following differential equation (x+2y^(3))dy/dx=y.
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- Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x
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- Evaluate : intx^(2)tan^(-1)xdx.
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- int0^ax^3(a^2-x^2)^(5/2)dx
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- Evaluate:int0^a dx/(e^(4x)-5)
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- Evaluate int-1^2 {|x\|+[x]}dx
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