Rt= ΣR = 40Ω
Vt= 80V
It= 80V/40Ω= 2A
V1= 15Ω*2A= 30V
V2= 20Ω*2A= 40V
V3= 5Ω*2A= 10V
Answer:
The maximum volume is 1417.87 
Explanation:
<u>Optimization Using Derivatives</u>
We have a 24x30 inch piece of metal and we need to make a rectangular box by cutting a square from each corner of the piece and bending up the sides. The width of the piece is 24 inches and its length is 30 inches
When we cut a square of each corner of side x, the base of the box (after bending up the sides) will be (24-2x) and (30-2x), width and length respectively. The volume of the box is

Operating

To find the maximum value of V, we compute the first derivative and equate it to zero

Simplifying by 12

Completing squares


We have two values for x


The first value is not feasible because it will produce a negative width (24-2(13.58))=-6.16
We'll keep only the solution

The width is

The length is

And the height

The maximum volume is

Let
be the speed of the helicopter in still air. Let
be the speed of the wind. Then, from the given information,

Adding the above 2 equations,

The speed of the helicopter in still air 
It would be gravity i do beileve
When the elevator is going up (assuming the elevator is acceleration)
When the elevator is accelerating downwards, the total gravitational force would be larger.
If the elevator is accelerating upwards, then the gravitation force would be smaller, thus the tension in the string would be smaller.