2. The Parkside Packing Company needs a rectangular shipping box. The box must have a length

of 11 inches and a width of 8 inches. Find, to the nearest tenth of an inch, the minimum height

of the box such that the volume is at least 800 cubic inches.

(3 points)

9.1 Inches

Step-by-step explanation:

Length of the proposed box=11 Inches

Width of the proposed box=8 Inches

Required Volume,

Volume of a Rectangular Prism =Length X Width X Height

Therefore:

Therefore, the minimum height to the nearest tenth of an inch is 9.1 Inches.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.