Find the interval(s) on which the graph y=2x³e^x is increasing

1

If  is a continuous function at x = 0, then the value of k is

Topic: NIMCET 2020

2

If $f(x)=\begin{cases}{{x}^2} & {,\leq0} \\ {2\sin x} & {,0}\end{cases}$, then x = 0 is

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3

Find 

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4

If a + b + c = 0, then the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}$ 

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5

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 t…

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6

Find the number of point(s) of intersection of the ellipse $\dfrac{x^2}{4}+\dfrac{(y-1)^2}{9}=1$ and the circle&nb…

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7

The tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:

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8

Let A = (aij) and B = (bij) be two square matricesof order n and det(A) denotes the determinant of A. Then, which of th…

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9

The number of values of $k$ for which the linear equations4x + ky + 2z = 0kx + 4y + z = 02x + 2y + z = 0posses a non-ze…

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10

Roots of equation are $ax^2-2bx+c=0$ are n and m , then the value of $\frac{b}{an^2+c}+\frac{b}{am^2+c}$ is

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1

then value of k is

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2

Evaluate 

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3

If  where n is a positive integer, then the relation between In and In-1 is

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4

The value of  depends on the

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5

Find the area bounded by the line y = 3 - x, the parabola y = x2 - 9 and 

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6

If  are three non-coplanar vectors, then 

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7

Two forces F1 and F2 are used to pull a car, which met an accident. The angle between the two forces is θ . Find the va…

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8

If  are four vectors such that is collinear with  and is collinear with  then &…

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9

Forces of magnitude 5, 3, 1 units act in the directions 6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a part…

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10

The position vectors of points A and B are  and  . Then the position vector of point p dividing AB …

Topic: NIMCET 2020