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Q 1/10
Score 0
300
Q 2/10
Score 0
A daily data volume halves from $D_0$ each day. Total over first $n$ days equals
300
$D_0\,\dfrac{1-(1/2)^{n}}{1-1/2}$
$D_0\,n$
$D_0\,(1/2)^{n}$
$D_0\,n/2$
10 questions
Q.
1
300 sec
Q.
A daily data volume halves from $D_0$ each day. Total over first $n$ days equals
2
300 sec
Q.
Telemetry for a device is modeled by $z(x,y)=x^2y+3y$. The coordinates depend on time $t$ by $x(t)=2t$ and $y(t)=1-t^2$. Find $\dfrac{dz}{dt}$.
3
300 sec
Q.
For $u=4x-y$ and $v=x+2y$, compute $\dfrac{\partial(u,v)}{\partial(x,y)}$.
4
300 sec
Q.
In an AP with $a=9$ and $d=7$, the smallest $n$ with $a_n\ge 200$ equals
5
300 sec
Q.
Sum of GP with $a=12$, $r=2$ for $n=5$ equals
6
300 sec
Q.
If $u=2x+y$ and $v=x-3y$, then $\dfrac{\partial(x,y)}{\partial(u,v)}$ equals
7
300 sec
Q.
For $f=x^{4}+y^{4}$, the quantity $x f_x+y f_y$ equals
8
300 sec
Q.
Using linearization at $(0,0)$, approximate $f(x,y)=e^{x}\cos y$ at $(0.1,0.2)$
9
300 sec
Q.
In a thermal imaging model, the intensity is represented by $S(x,y)=x^{3}+3x^{2}y+y^{3}$. Define $H(x,y)=x^{2}S_{xx}+2xy\,S_{xy}+y^{2}S_{yy}$. Evaluate $H(1,2)$.
