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<h3><u>Answer:</u></h3>
Average of salary of Anne and David is 1.25 of Peter's Salary
<h3><u>Explanation:</u></h3>In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.
Let us assume Peter's Salary as P.
Then we can calculate Anne's salary A = .
Also David's salary = D =
Average of Anne's and David's salary =
Average of Anne's and David's salary =
Average of Anne's and David's salary =
Average = 1.25 \times P
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
