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- If A is an invertible matrix of order 2, then find det(A^(-1)).
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- Find intx^2e^(x^3)dx
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- Give an example of a homogeneous differential equation.
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- In triangle ABC, find vec(AB)+vec(BC)+vec(CA)
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- Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...
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- Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?
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- Find fog(2) and gof(1), when f:RrightarrowR defined by f(x)=x^2+8 and ...
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- Solve cos^(-1)x+sin^(-1)frac[x][2]=frac[pi][6].
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- Solve LPP: Maximize Z=5x1+7x2 subject to the constrains 3x1+4x2le12,x1...
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- Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...
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- Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...
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- Express A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and...
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- Using the properties of determinants, show that abs[[1+a^2-b^2,2ab,-2b...
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- If A=[{:(costheta,sintheta),(-sintheta,costheta):}], then prove that ...
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- Find the minimum value of abs[[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+...
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- Find the values of x and y such that [{:(3x+7,5),(y+1, 2-3x):}]=[{:(0,...
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- Discuss the continuity of the function defined by f(x)={[x+1, if xle1]...
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- Differentiate the functions w.r.t x x^(xcosx)+frac[x^2+1][x^2-1]
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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- Find the intervals in which the function f given by f(x)=sinx+cosx, 0l...
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