Answer:

Explanation:
The heaviside function is defined as:

so we see that the Heaviside function "switches on" when
, and remains switched on when 
If we want our heaviside function to switch on when
, we need the argument to the heaviside function to be 0 when 
Thus we define a function f:

The
term inside the heaviside function makes sure to displace the function 5 units to the right.
Now we just need to add a scale up factor of 240 V, because thats the voltage applied after the heaviside function switches on. (
when
, so it becomes just a 1, which we can safely ignore.)
Therefore our final result is:

I have made a sketch for you, and added it as attachment.
Answer:
They can use it for when they are dormant in the winter or to grow more sources for storing and creating energy, or they store the energy (this energy would be considered stored energy).
Control is the comparison like 0 or the normal say you are testing salt on plants, no salt would be the comparison
Constant are what stay the same, like the things other then IV and DV
Answer:
b. The voltage across the resistor is equal to the terminal voltage of the battery, and the voltage across the capacitor is zero.
Explanation:
<em>When the system reaches its steady state the current tends to zero, then</em>
<em>in the resistor</em>
<em>V=IR</em>
<em>I=0, then </em><em>V=0</em>
<em>the capacitor charged is like an interruption in the circuit. </em><em>If we mesure voltage on both sides of the battery and if we mesure both sides of the capacitor, we will get the same value</em><em>, as its not any component between them in one side, and, in the other, the only component is the resistor that, without any courrent doesn't discipates any energy.</em>