Derivative of \(x^3 + 1\) with respect to \(x^2 + 1\) is

Mathematics 2022 MCQ

Order and degree of the differential equation \(y\frac{dy}{dx} + \frac{4}{\frac{dy}{dx}} = 5\) are

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Mathematics 2022 MCQ

Solution of the differential equation \((x + xy)dy - y(1 - x^2)dx = 0\) is

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Mathematics 2022 MCQ

The solution of the differential equation \((x + 1)\frac{dy}{dx} = 1 + y\) is

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Mathematics 2022 MCQ

Two numbers are selected at random (without replacement) from the first three positive integers. Let \(X\) denotes the larger of the two integers, then the probability distribution of \(X\) is

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Mathematics 2022 MCQ

\(\int \frac{xe^x}{(x+1)^2}\,dx =\)

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Mathematics 2022 MCQ

The probability distribution of number of doublets in three throws of a pair of dice is

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Mathematics 2022 MCQ

The area enclosed by the curve \(y^2 = 4ax\) and its latus rectum is

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Mathematics 2022 MCQ

In linear programming, the optimal value of the objective function is attained at the points given by

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