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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2017-PREVIOUS YEAR QUESTION
- Write the minimum value of n such that frac[d^n(3x^3+7)^(15)][dx^n]=0
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- Write the interval in which the function sin^2x-x is increasing.
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- Write the value of int0^1{x}dx where {x} stands for fractional part of...
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- Write the order of the differential equation of the family of circles ...
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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 equation of the plane meeting the coordinate axes in A,B and...
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- Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...
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- 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 ...
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- What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...
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- If y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...
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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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- lim(xto0)cos(1/x)
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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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- Evaluate int-1^2 {|x\|+[x]}dx
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- int0^ax^3(a^2-x^2)^(5/2)dx
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- Evaluate intfrac[dx][e^(4x)-5
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- intx^2tan^-1xdx
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