Previous 10 Questions — AMU MCA 2021
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The value of
$ \iiint_V z,dx,dy,dz $
where $V$ is cylinder bounded by
$z=0,\ z=1,\ x^2+y^2=4$
Topic: AMU MCA 2021
The value of
$ \displaystyle \int_0^{\infty} \frac{y^x,dx,dy}{x^2+y^2} $
is
Topic: AMU MCA 2021
Let
$f(x,y)=\begin{cases}
0,& xy\ne0\
1,& xy=0
\end{cases}$
Which is true?
Topic: AMU MCA 2021
Let
$f(x,y)=\begin{cases}
0,& xy\ne0\
1,& xy=0
\end{cases}$
Which is true?
Topic: AMU MCA 2021
Let $\mathbb{R}^3={(x,y,z)}$ and $W$ be the subspace generated by ${(1,2,-3)}$. Geometrically, $W$ represents
Topic: AMU MCA 2021
The continuous function $f:\mathbb{R}\to\mathbb{R}$ defined by
$f(x)=\sqrt{x^2+1}$
is
Topic: AMU MCA 2021
If $u=f(x-y,y-z,z-x)$, then the value of
$\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}+\frac{\partial u…
Topic: AMU MCA 2021
The derivative of $f(x,y)=x^2+xy$ at $P_0(1,1)$ in the direction of unit vector
$\vec{u}=\left(\frac{1}{\sqrt{2}}\righ…
Topic: AMU MCA 2021
The centre of a rectangular hyperbola lies on the line $y=2x$. If one of the asymptotes is $x+y+c=0$, then the other as…
Topic: AMU MCA 2021
The solution of the differential equation
$ \dfrac{d^2y}{dx^2} - 2\dfrac{dy}{dx} + y = xe^x \sin x $
Topic: AMU MCA 2021
Next 10 Questions — AMU MCA 2021
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The third order divided difference of $ \frac{1}{x} $ based on arguments $x_0,x_1,x_2,x_3$ is
Topic: AMU MCA 2021
Which of the following is incorrect?
Topic: AMU MCA 2021
The locus of points from which three mutually perpendicular tangents can be drawn to
$ ax^2+by^2=2z $
is
Topic: AMU MCA 2021
If $y_1=4,\ y_2=12,\ y_4=19$ and $y_x=7$ then value of $x$ is approx
Topic: AMU MCA 2021
An integrating factor for
$ (y^2+2y),dx+(2xy+x^2),dy=0 $
is
Topic: AMU MCA 2021
If $y_1$ and $y_2$ are two solutions of
$ y''+p(x)y'+q(x)y=0 $
and Wronskian $W(y_1,y_2)=0$, then $y_1,y_2$ are
Topic: AMU MCA 2021
The equation of a circular cylinder, whose guiding curve is
$ x^2+y^2+z^2=9,\quad x-y+z=3 $
will be
Topic: AMU MCA 2021
In case of two-way classification with $r$ rows and $c$ columns, the degree of freedom for error is:
Topic: AMU MCA 2021
Let $x_1=2.2,\ x_2=4.1,\ x_3=3.4,\ x_4=4.5,\ x_5=1.1,\ x_6=5.7$
be sample from $U(0,\theta)$. Then MLE of $\theta$ is:
Topic: AMU MCA 2021
If $X_1,\dots,X_n$ are Bernoulli with probability $p$, then constant estimate of $p(1-p)$ is
Topic: AMU MCA 2021
