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FULL MARKS-EXAMINATION QUESTION PAPER MARCH 2019-MATHEMATICS
- Find a unit vector along the direction of the vector 5 hati - 3 hatj +...
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- Define a continuous function on the closed interval [a,b]
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- Consider the function f (x) = sqrtx, x ge 0. Does lim (x to 0) f (x) e...
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- An integer is chosen at random from the first ten positive integers.F...
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- It is correct to say A xxA = {(a,a) :a in A} ? Justify your answer.
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- A football player can kick a fotball from ground level with an initial...
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- Find the coefficient of x ^(3) in the expansion of (2 -3x)^(7).
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- Find the nearest point on the line x - 2y=5 from the origin.
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- If veca ,vecb, vec c are three vectors such that veca + 2 vecb + vecc ...
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- Examine the continuity of the following : cotx+tanx
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- Differentiate the following : y=sin^(-1)((1-x^(2))/(1+x^(2)))
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- Find (dy)/(dx) if x =a ( t - sin t), y =a (1- cos t)
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- Evaluate: int(x-3)sqrt(x+2)dx.
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- Construct a suitable domain X such that f:x to N defined by f (n) = n ...
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- For the given bases curve y = sin x, draw y = 1/2 sin 2x
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- Solve the equation sqrt(6 - 4x - x^(2)) = x + 4
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- State and prove any one of the Napier's formulae.
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- Do the limit of the function (sin (x - [x]))/(x - [x]) exist as x to 0...
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- Prove that for any natural number n, a ^(n) - b ^(n) is divisible by a...
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- Evaluate, int (2x +4)/(x ^(2) +4x +6)
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