0 answers
0 votes
0 answers
0 votes
0 answers
0 votes
Consider the following differential equation:$\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is$-5e^{-10}$$2e^{-10}$$2e^{-15}$$-15e^...
0 answers
0 votes
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
0 answers
0 votes
0 answers
0 votes
0 answers
0 votes
0 answers
0 votes
0 answers
0 votes
If a foam insulation is added to a $4 \: cm$ outer diameter pipe as shown in the figure, the critical radius of insulation (in $cm$) is _____________
0 answers
0 votes
If the fluid velocity for a potential flow is given by $V(x,y)=u(x,y)i+v(x,y)j$ with usual notations, then the slope of the potential line at $(x,y)$ is$\dfrac{v}{u} \\$$...
0 answers
0 votes
The uniaxial yield stress of a material is $300$ $MPa$. According to von Mises criterion, the shear yield stress (in $MPa$) of the material is _______
0 answers
0 votes
0 answers
0 votes
A gas is stored in a cylindrical tank of inner radius $7$ $m$ and wall thickness $50$ $mm$. The gage pressure of the gas is $2$ $MPa$. The maximum shear stress (in $MPa$)...
0 answers
0 votes
The Laplace transform of $e^{i5t}$ where $i=\sqrt{-1}$, is$\dfrac{s-5i}{s^2-25} \\$$\dfrac{s+5i}{s^2+25} \\$$\dfrac{s+5i}{s^2-25} \\$$\dfrac{s-5i}{s^2+25} $
0 answers
0 votes
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is$-3i$$3i$$3i-4j$$3i-6k$