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MODERN PUBLICATION-TEST PAPER 4-PROBLEM
- For what k,x-ky-z=0 kx-y-z=0 x+y-z=0 has a non zero solution?
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- Differentiate cos^(-1)[x+e^(-x)] w.r.t. x.
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- what is the value of int1^4 (x)dx.
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- What is the order of the differential equation whose solution is ax^(2...
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- If |veca +vecb| = |veca|+|vecb| then what is the angle between veca an...
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- Write the equation of the plane perpendicular to z-axis and passing th...
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- Constract the composition table/multiplication table for the binary op...
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- Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...
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- Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...
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- (Allocation Problem.)A farmer has 5 acres of land on which he wishes t...
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- Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...
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- Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...
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- If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0
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- If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...
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- If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...
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- Show that 2 sin x + than x ge 3x all x in (0, pi/20).
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- Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^...
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- Evaluate the following integrals int(dx)/(sinx(3+2cosx) put cosx=z
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- int0^(pi//2)(sqrttanx+sqrtcotx)dx
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