How can you decompose the composite figure to determine its area?

In order to find the area of the given figure we have to decompose into geometrical figures whose area could be easily calculated by the use of the mathematical formulas we know.

Hence, we decompose it into:

The decomposition could be seen with the help of diagram attached to the answer.

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.

8.3 and the 3 is repeating

hope this .