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MODERN PUBLICATION-TEST PAPER 8-EXERCISE
- If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.
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- Prove the inequality x^2e^(-x^2) le e^(-1),x in R.
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- Find the interval in which y=(x-1)^2(x+2) is : (i) increasing (ii)...
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- Evaluate : int dx/(x(x^4+1))
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- Evaluate : int dx/sqrt (x^2+8x)
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- Evaluate : int(0)^(pi/2) e^x cos x dx .
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- From the differential equation whose general solution is y=asint+be^t.
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- Find the unit vector perpendicular to the plane ABC, where the positio...
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- Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xxvec(b)).
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- The direction cosines of a straight line in two neighbouring positions...
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- Find the equation of the plane Passing through the intersection of the...
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- Find the equation of the straight line perpendicular to the line (x-2)...
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- Exaniming consistency and solvability, solve the following equations b...
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- Prove [[a^3-x^3,a^2,a],[b^3-x^3,b^2,b],[c^3-x^3,c^2,c]] = (a-b)(a-c)(b...
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- (i) If x=sin t, y=sin 2t then prove that (1-x^2)d^2y/dx^2-xdy/dx+4y=0....
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- Show that the radius of the right cicular cylinder of greatest curved ...
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- Find the solution of the differential equation x sin (y/x)dy =(y sin...
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- Find the area of the region included between the parabola y^(2)=2x and...
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- A variable plane is at a constant distance p from the origin and meets...
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- (i) If the vectors vec a+vec b+vec c = 0 |vec a|=3,|vec b|=5 and |vec ...
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