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MODERN PUBLICATION-TEST PAPER 5-PROBLEM
- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...
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- Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is ...
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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- Evaluate int0^2abs(x^2+2x-3)dx
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- solve:ydx-xdy=xydx
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- int(xe^x)/(1+x^2)dx
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- int0^pi(xdx)/(1+sinx)
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- Solve : (x + 2y^3)dy/dx = y.
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- If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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- Find the direction cosines of the line which is perpendicular to the l...
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...
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- Exaniming consistency and solvability, solve the following equations b...
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- Prove the following: |[ax-by-cz,ay+bx,az+cx],[bx+ay,by-cz-ax,bz+cy],...
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- If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...
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- Show that the semi-vertical angle of a right circular cone of minimum ...
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- int0 ^pi (( tan x) / (sinx +tan x))dx
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