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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Let f be defined by f(x)=4x + 3 for all x""inR. Show that it is biject...
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- If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...
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- Prove that int0^(pi/2)lnSinxdx=-pi/2ln2
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- Evaluate intfrac[dx][cosx(1+2sinx)]
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- Solve the following differential equations (x+tany)dy= sin 2y ""dx
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- Express abs((a^2,2ab,b^2),(b^2,a^2,2ab),(2ab,b^2,a^2)) in the form of ...
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- If A=[{:(2,1),(-1,3):}],B=[{:(2,3),(1,1):}]andC=[{:(1,0,2),(-2,3,0):}]...
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- If f(x)=int0^x e^(2t).sin3tdtthen what is f^1(x)?
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- What does the solution set of the inequation 2x+ygt5 represents?
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- What is the value of tan(tan^-1""1/2+tan^-1""1/3).
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- What is the general solution of tan^-1sqrt(dy/dx)=x?
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- Give an example of symmetric matrix.
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- If veca and vecb are non-collinear and vecp=xveca+(y+1)vecb,vecq=yveca...
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- If y=cos^(-1)((x-1/x)/(x+1/x)),then what is dy/dx?
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- What is the restriction on the formula inta^xdx=a^x/(Ina)?
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- Write down the symmetric from of the equation of y-axis.
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- Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.
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- Find all possible equivalence relations on X={1,2,3}
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- Find the fesible region of the following system:3x-yge0,xge0,yge0
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- In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...
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