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Explanation:
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Answer:
(a) The number of gallons of water in the tank when it starts draining.
(b) How many minutes it takes for all of the water to drain from the tank.
Explanation:
So, basically v(t) defines the volume of tank as a function of time. When we evaluate t=0, we find the intercept with the y-axis which represent the initial water volume of the tank in gallons:
![v(0)=46-1.5(0)=46gal](https://tex.z-dn.net/?f=v%280%29%3D46-1.5%280%29%3D46gal)
now we need to know when v(t)=0, so:
![46-1.5t=0](https://tex.z-dn.net/?f=46-1.5t%3D0)
Solving for t:
![t=\frac{46}{1.5}=30.67min](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B46%7D%7B1.5%7D%3D30.67min)
This represents the amount of time in minutes required to drain all of the water from the tank, in other words v=0gal
I attached a picture where you can see the graph that represents the function:
Answer:
Copy MATLAB code to plot the magnitude of magnetic field strength with respect to z on the axis of solenoid:
z=-20:0.01:20;
H=120.*(((20-(2.*z))./sqrt((20-(2.*z)).^2+100))+((20+(2.*z))./sqrt((20+(2.*z)).^2+100)));
plot(z,H)
title('plot of |H| vs z along the axis of solenoid')
ylabel('Magnitude of magnetic field 'H")
xlabel('position on axis of solenoid 'z")
Explanation:
full explanation is attached as picture and the resultant plot also.