A section of a hot water heating system must be suspended. The section is made from one-inch copper tubing weighing 12.167 pounds. The water inside the tubing weighs 7.6734 pounds. What is the total weight that must be
supported in this section?
Select one:
a. 17.3467
b. 20.7843
c. 19.8404
d. 22.8263

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.