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SHARAM PUBLICATION-MODEL QUESTION PAPER 13-EXERCISE
- Write the value of int0^(pi/2)(sinx)/(sinx+cosx)dx-int0^(pi/2)(cosx)/(...
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- If p and q are the order and degree of the differential equation y((dy...
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- Write the value of the cosine of the angle which the vector veca =hati...
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- Write the intercepts cutoff by the plane 2x+y-z =5 on three axes.
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- Show that the relation S in set A={x in Z : 0 le x le 12} given by S=...
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- Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...
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- Solve: sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x.
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].
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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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- Prove without expanding that |[bc,a,a^2],[ca,b,b^2],[ab,c,c^2]|=|[1,a^...
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- Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0
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- Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)
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- Find the value of k, so that the function defined by f(x)={(kx+1", if...
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- If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2.
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- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the t...
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- For which value of x, the function f(x)=4-x-x^2is maximum or minimum.
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- Evaluate int (x+3)^2dx
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- Evaluateint0^pi (2/4)sinsqrtxdx
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