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MODERN PUBLICATION-SAMPLE PAPER 2015-EXERCISE
- If (2,3,5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x...
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- If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...
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- There are 4 letters and 4 directed envelopes. Write the number of ways...
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- Write the probability that two persons have the same birthday (conside...
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- Find (dy)/(dx), when y^(x)=x^(siny)
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- Find dy/dx, when y = e^(x)ln x.
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- Show that (dy)/(dx) is independent of t . cos x=sqrt((1)/(1+t^(2))) an...
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- Verify Euler's theorem in the case of z = xy+((x+y)^(4))/(xy).
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- Show that 2 sin x + than x ge 3x all x in (0, pi/20).
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- Find the following limits:lim(xrarr0+)logtanx tan2x
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- Find the approximate value of root(6)(63).
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- Evaluate : intx^(2)tan^(-1)xdx.
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- Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))
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- Find the area of the circle x^2+y^2=2ax.
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- Find the particular solution ofthe differential equation (d^2y)/(dx^2)...
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- Solve the following differential equation (x+2y^(3))dy/dx=y.
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- Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...
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- Prove that the lines joining the midpoints of consecutive sides of a q...
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- Prove that : [(vec a × vec b) (vec b × vec c) (vec c × vec a)] = [vec ...
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- If vec a, vec b, vec c are mutually perpendicular vectors of equal mag...
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