Calculus


Q41.

n-th derivative of x^n is
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Q42.

The value of x at which y is minimum for y=x^2 -3x +1 is
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Q43.

Let x be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean -1 and variance unknown. If P (x \leq -1) = P (Y \geq2) , the standard deviation of Y is
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Q44.

A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x^{4}-16x^{3}+24x^{2}+37 is
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Q45.

Which one of the following is a closed form expression for the generating function of the sequence \left \{ a_{n} \right \}, where a_{n}=2n+3 for all n = 0, 1, 2,...?
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