The function $y=c_1\cos x+c_2\sin x$ is a solution of the D.E. where $c_1$ and $c_2$ are real numbers
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The integrating factor of the D.E.
$(x\log x)\frac{dy}{dx}+y=2\log x$ is
Topic: AMU MCA 2017
Let $A$ and $B$ be two points with position vectors $\vec a$ and $\vec b$ respectively and let $C$ be a point dividing …
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If the sum of two unit vectors is again a unit vector, then magnitude of their difference is
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The shortest distance between the lines
$\vec r=(4\hat i-\hat j)+\lambda(\hat i+2\hat j-3\hat k)$
and
$\vec r=(\hat i-\…
Topic: AMU MCA 2017
The most correct statement is
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If $X$ follows a binomial distribution with parameters $n=100,\ p=\frac{1}{3}$, then $P(X=r)$ is maximum, when $r$ is e…
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If $A$ and $B$ are two events associated to some experiment $E$ such that $P(A)=0.5,\ P(B)=0.4,\ P(A\cap B)=0.3$, then …
Topic: AMU MCA 2017
Let $g(x)$ be the inverse of an invertible function $f(x)$ which is differentiable at $x=c$, then $g'(f(c))$ equals
Topic: AMU MCA 2017
The area bounded by the curve $y=2x-x^2$ and the straight line $y=-x$ is
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If $A$ is an orthogonal matrix, then
Topic: AMU MCA 2017
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The general solution of differential equation
$\frac{dy}{dx}+2xy=2e^{-x^2}$ is
Topic: AMU MCA 2017
$\int_{1}^{\sqrt{3}} \frac{dx}{1+x^2}$ equals
Topic: AMU MCA 2017
$\int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x} dx$ is equal to
Topic: AMU MCA 2017
The integral $\int e^x (1+\tan x)\sec x , dx$ equals
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The area of the region bounded by the two parabolas $y=x^2$ and $y=x$ is
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Differentiate y = sin⁻¹((1 - x²)/(1 + x²)), 0 < x < 1 with respect to x.
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The total revenue in rupees received from the sale of $x$ units of a product is given by $R(x)=5x^2+20x+7$. The margina…
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If $y=e^{x}+e^{x+e^{x}}+e^{x+e^{x+e^{x}}}+\dots$, then $\frac{dy}{dx}$ is equal to
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The function $f(x)=\sqrt{|x|-x}$ is continuous for
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If $y=\sqrt{\frac{1-x}{1+x}}$, then $(1-x^2)\frac{dy}{dx}+y$ is
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