The length of the longest metal rod that can be sent is 12 inches.
<h2>Step-by-step explanation:</h2>As given, the only boxes available for shipping are 7-inch cubes. As Jorge needs to ship a thin metal rod to a metalworking shop, he will put the rods diagonally or space diagonally in the box.
The space diagonal of a cube can be found by the formula :
=
Here, x is 7 inches.
So, Diagonal is =
= inches.
Rounding this to nearest whole number we get 12.
So, the length of the longest metal rod that can be sent is 12 inches.
A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
