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SHARAM PUBLICATION-QUESTION PAPER 2014-EXERCISE
- What do you mean by integration ? Write your answer in one sentence.
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- Write the differential equation of the family of straight lines parall...
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- Is vec 0 unique
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- Under which conditions the straight line (x-a)/l = (y-b)/m = (z-c)/n i...
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- How many straight lines in space through the origin are equally inclin...
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- If a(ij) is an element in ith row and jth column of a 3rd order determ...
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- What is the value of : C3^20 + C4^20 + C5^20 + ..........+ C17^20 ?
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- If an event A is independent of it self, then what is P(A)?
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- If y=cosec^(-1)x, then find (dy)/(dx) and determine its value at x=-2.
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- Examine the differentiability of ln x^(2) for all real values of x.
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- Interpret Lagrange's mean value theorem geometrically.
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- Evaluate: underset(x rarr0)lim((sinx)/x)^(1/x)
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- Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))
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- int(xe^x)/(1+x^2)dx
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- Evaluate: overset(3/2)underset(0)int[x^2]dx.
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- Find the area of the region bounded by the curve y=sin x and the strai...
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- Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...
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- Solve : (x+y)dy +(x-y)dx = 0.
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- Find the differential equation whose general solution is ax^(2)+by=1, ...
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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