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 marginal revenue, when $x=8$ is
Previous 10 Questions — AMU MCA 2017
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Differentiate y = sin⁻¹((1 - x²)/(1 + x²)), 0 < x < 1 with respect to x.
Topic: AMU MCA 2017
The area of the region bounded by the two parabolas $y=x^2$ and $y=x$ is
Topic: AMU MCA 2017
The integral $\int e^x (1+\tan x)\sec x , dx$ 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
$\int_{1}^{\sqrt{3}} \frac{dx}{1+x^2}$ equals
Topic: AMU MCA 2017
The general solution of differential equation
$\frac{dy}{dx}+2xy=2e^{-x^2}$ is
Topic: AMU MCA 2017
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
Topic: AMU MCA 2017
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 …
Topic: AMU MCA 2017
If the sum of two unit vectors is again a unit vector, then magnitude of their difference is
Topic: AMU MCA 2017
Next 10 Questions — AMU MCA 2017
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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
Topic: AMU MCA 2017
The function $f(x)=\sqrt{|x|-x}$ is continuous for
Topic: AMU MCA 2017
If $y=\sqrt{\frac{1-x}{1+x}}$, then $(1-x^2)\frac{dy}{dx}+y$ is
Topic: AMU MCA 2017
If the system of equations$2x+ay+6z=8$$x+2y+bz=5$$x+y+3z=4$has a unique solution then
Topic: AMU MCA 2017
If $a, b, c$ are roots of the equation $x^3 + px + q = 0$, then the value of
$\begin{vmatrix} a & b & c \\ b & c & a …
Topic: AMU MCA 2017
If $y = \sin(mx)$, then the value of the determinant
$\begin{vmatrix} y & y_1 & y_2 \\ y_3 & y_4 & y_5 \\ y_6 & y_7 …
Topic: AMU MCA 2017
If $A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix}$ be such that $A^{-1}=\lambda A$. Then, the value of $\lambda$ is
Topic: AMU MCA 2017
If $A=\begin{bmatrix}\alpha & 0 \\ 1 & 1\end{bmatrix}$ and $B=\begin{bmatrix}1 & 0 \\ 5 & 1\end{bmatrix}$ and $A^2=B$, …
Topic: AMU MCA 2017
$\sin^{-1}\left(\frac{8}{17}\right) + \sin^{-1}\left(\frac{3}{5}\right)$ is equal to
Topic: AMU MCA 2017
If $\cos^{-1} \sqrt{p} + \cos^{-1} \sqrt{1 - p} + \cos^{-1} \sqrt{1 - q} = \frac{3\pi}{4}$, then the value of $q$ is:
Topic: AMU MCA 2017
