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MODERN PUBLICATION-MOCK TEST-2-EXERCISE
- Evaluate the definite integral: int0^(pi/4) (sinxcosx)/(cos^4x+sin^4x)...
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- Solve the differential equation : (x^2 + xy)dy=(x^2+y^2)dx.
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- Find the volume of the parallelopiped whose sides are given by vectors...
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- Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)),...
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- Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...
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- If A=[[1,2,2],[2,1,2],[2,2,1]], verify that : A^2-4A-5I=O
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- Solve the following system of equations by matrix method, where xne0, ...
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- If xneynez and |[x,x^3,x^4-1],[y,y^3,y^4-1],[z,z^3,z^4-1]|=0, then pro...
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- If x^(y)=e^(x-y), then prove that (dy)/(dx)=(logx)/((1+logx)^(2))
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- If y=xlog[(ax)^-1+a^-1], prove that : x (x+1) (d^2y) / (dx^2) + xdy/dx...
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- Evaluate : int x^2/((x^2+1)(3x^2+4))dx
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- Evaluate : int1^4 (3x^2+2x)dx as the limit of sum.
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- Prove that : ""∫0 ^(pi/2)sin2xlogtanxdx=0
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- Find the particular solution of the differential equation (1+e^(2x))dy...
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- Using vectors, find the area of the triangle having vertices A (1, 1, ...
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- Find the co-ordinates of the foot of the perpendicualr drawn from the ...
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- There are 40 scholars in a class, out of which 10 are sports- persons....
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- let A = N xxN and * be the binary operation on A defined by : (a,b) * ...
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- Consider rrarr[4,infty] given by f(x)=x^2+4. Show that f is invertible...
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- Find the points of local maximum and local minimum, if any, of the fun...
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