Find the dimensions of the rectangle of maximum area that can be formed from a 210-in. piece of wire. (use decimal notation. give your answer to three decimal places.)

does this problem require optimization over a closed interval or an open interval?

a. open

b. closed

  52.500 by 52.500 inches

Step-by-step explanation:

The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.

The figure is a 52.500 inch square. The interval of optimization is closed.

Side lengths are restricted to the interval 0 to 105 inches.

__

Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v