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SHARAM PUBLICATION-MODEL QUESTION PAPER -16-EXERCISE
- Find two numbers whose sum is 24 and product is maximum.
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- Integrate: intx(e^x)/((1+x)^2)dx
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- Integrate :inttan^-1x/(1+x^2)dx
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- Evaluate int0^(pi/2)(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx
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- Find the area bounded by the line y = 2x, x- axis and the ordinate x =...
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- Solve 2y^3(dy)/(dx)=ax
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- Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...
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- If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
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- Write the volume of the parallelopiped whose sides are given by-hatj, ...
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- The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...
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- Find the equation of the plane passing through the intersection of the...
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- Prove that (veca.vecb)^2=a^2b^2-(veca xx vecb)^2
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- Show that the lines (x-4)/1=(y+3)/-4=(z+1)/7 and (x-1)/2=(y+1)/-3=(z+1...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Find the altitude of a right circular cylinder of maximum volume inscr...
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- Evaluate the following integrals int(12sinx-2cosx+3)/(sinx+cosx)dx
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- Determine the area common to the parabola y^2=x and the circle x^2+y^2...
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- Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...
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- If A=[[1,1],[-1,-1]], B=[[-1,3],[-3,1]] then show that (A+B)^2 !=A^2 +...
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- If f:RrarrR defined by f(x)=5x-8 for all x inR, then show that f is in...
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