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MODERN PUBLICATION-TEST PAPER 3-PROBLEM
- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- A trust fund has Rs. 50,000 that is to be invested in two types of ...
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- Find the inverse of the following matrices using elementary transforma...
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...
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- If y=In(x^2 +y^2),then find dy/dx.
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- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Test the differentiability and continuity of the following function at...
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- Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...
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- int0^piabs(cosx)dx
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- Solve :(1 + y^2).dx+xdy = tan^-1y dy
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- A plane meets the coordinate axes at A, B and C respectivély. If the c...
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- Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.
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- Prove that the acute angle between the lines whose direction cosines a...
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- Let f : W rarr W be defined as f (x) = x -1 if x is odd and f(x) = x +...
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- Constract the composition table/multiplication table for the binary op...
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- Let A = ( ( 1 2 2) , (2 1 2), (2 2 1)).Find A^-1 and hence show A^2-4A...
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- Prove that the following. [[b^2+c^2,ab,ac],[ab,c^2+a^2,bc],[ca,cb,a^2+...
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- Show that the sum of the intercepts on the coordinate axes of any tang...
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- Shows that the triangle of greatest area that can be inscribed in a ci...
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