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- If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...
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- Find the altitude of a right circular cylinder of maximum volume inscr...
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- Evaluate intfrac[dx][cosx(1+2sinx)]
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- Find the area of the regions into which the circle x^2+y^2=4 is divide...
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- Prove the following by vector method. Altitudes of a triangle are conc...
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- Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...
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- If a relation is symmetric and transitive on any non-empty set, then i...
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- What is the value of cos^(-1)(cosfrac[7pi][6])?
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- If A and B are symmetric matrices of the same order with AB!= BA, fina...
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- If a(ij) is an element in ith row and jth column of a 3rd order determ...
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- What is the derivative of cosec^(-1)x if xlt0?
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- State Rolle.s theorem.
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- What is the value of int(-1)^(1)ln(frac[4-x][4+x])dx?
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- Write the order and degree of the differential equation frac[dy][dx]= ...
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- If veca,vecb,vecc are unit vectors such that veca+vecb+vecc = vec0, fi...
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- If a line is perpendicular to z-axis and makes an angle measuring 60^0...
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- Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...
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- If f(x)=sqrtx and g(x)=1-x^2, then find gof and fog. If h(x)=1-x, then...
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- Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][...
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- Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.
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