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MODERN PUBLICATION-TEST PAPER 8-EXERCISE
- In what interval f(x)=log(5) x is decreasing (if any) ?
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- Write the value of int(-1)^1 (sin^5 x + 5)dx .
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- The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1+...
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- Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...
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- Write the equation of the plane passing through (1,2,3) and parllel to...
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- Let A = {1, 2, 3). Then, show that the number of relations containing ...
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Let * be the binary operation on N given by a*b = LCM of a and b. Fin...
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- Show that f:R to R defined as f(x)= 4x+3 is invertible. Find the inver...
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- Express A=[[x,a,b],[a,y,c],[b,c,z]] as the sum of a symmetric and a sk...
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- Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...
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- Prove that |[a-b-c,2a,2a],[2b, b-c-a, 2b],[2c, 2c, c-a-b]|= (a+b+c)^3.
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- Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...
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- Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...
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- Examine the contiunity of the the following functions at indicated poi...
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- Differentiate : (sec x+ tan x)^cot x.
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- If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.
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- Prove the inequality x^2e^(-x^2) le e^(-1),x in R.
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- Find the interval in which y=(x-1)^2(x+2) is : (i) increasing (ii)...
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- Evaluate : int dx/(x(x^4+1))
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