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SHARAM PUBLICATION-MODEL QUESTION PAPER -15-EXERCISE
- If f(x)=(1-x^(3))^(1/3) then find fof(x).
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- Write the principal value of tan^(-1)(sqrt3)-cot^(-1)(-sqrt3).
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- Find the value of |[x^2-x+1,x-1],[x+1,x+1]|
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- If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...
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- What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Write the value of int(-pi//4)^(pi//4)sin^(5)xcosxdx
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- What is the solution of the equation (d^2y)/(dx^2)=e^-(2x)?
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- What is the equation of the line passing through the point (1,2,3)and ...
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- If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...
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- If R and S are two equivalence relation on the set then prove that Rca...
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- If ** is a binary operation on set Q of rational numbers such tht a**b...
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- Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(...
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- [[1,-2],[3,2]][[x,2],[1,y]]=[[-3,4],[-1,4]]Find x and y.
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- Factorize the following. [[x+a,b,c],[b,x+c,a],[c,a,x+b]]
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- Solve the following : [[1+x,1,1],[1,1+x,1],[1,1,1+x]]=0
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- Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y
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- For what value of lambda,is the function f(x)={(lambdax^2-2x,if xle0),...
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- If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a
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- If y^2cot x = x^2 coty then find (dy)/(dx)
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