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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Prove that intxlog(1+1/x)dx =x^2/2log((x+1)/x)-x^2/2 logx-1/2log(x+1)+...
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- Prove that int(dx)/(2+sinx)=2/sqrt(3)tan^-1((2tanx//2+1)/sqrt3)+c.
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- Solve dy/dx-y/x=xy^2.
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- Let f: X rarr Y If there exists a map g:Y rarr X such that gof = id...
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- If "cos"^(-1)(x/y) +"cos"^-1(y/3)= theta, "prove that" 9x^2- 12xy "co...
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- Maximize:Z=10x1+12x2+8x3 "Subject to": x1+2x2 le 30 5x1 -7x3 ge 12 x1+...
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- Prove by vector method that the medians of a triangle are concurrent.
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- If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...
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- If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...
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- If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...
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- Let A={1,2,3}, which of the following functions on A is invertible?
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- Let A={1,2,3}, which of the following functions on A is invertible?
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- Let A={1,2,3}, which of the following functions on A is invertible?
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- Let A={1,2,3}, which of the following functions on A is invertible?
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- Find sin[frac[pi][2]-sin^(-1)(-frac[1][2])]
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- Find the number of all possible matrices of order 3xx3 with each of ...
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- Find the value of x if abs[[2,3],[4,5]]=abs[[x,3],[2x,5]]
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- If A is a square matrix of order 2, then find det(adjA).
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- Evaluate inte^(x)(sinx+cosx)dx.
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- Write the differential equation having y=C1e^x+C2e^x as its general so...
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