In the following exercises, use averages of values at the left (L) and tight (R) endpoints to compute the integrals of the piecewise linear functions with graphs that pass through the given list of points over the indicated intervals. 84. { ( 0 , 0 ) , ( 2 , 1 ) , ( 4 , 3 ) , ( 5 , 0 ) , ( 6 , 0 ) , ( 8 , 3 ) } over [0,8]
In the following exercises, use averages of values at the left (L) and tight (R) endpoints to compute the integrals of the piecewise linear functions with graphs that pass through the given list of points over the indicated intervals. 84. { ( 0 , 0 ) , ( 2 , 1 ) , ( 4 , 3 ) , ( 5 , 0 ) , ( 6 , 0 ) , ( 8 , 3 ) } over [0,8]
In the following exercises, use averages of values at the left (L) and tight (R) endpoints to compute the integrals of the piecewise linear functions with graphs that pass through the given list of points over the indicated intervals.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
A study found that a person's status in a community depends on the person's income and education according to the function
S(x, y) = 3x1/3,1/2,
where x is income (in thousands of dollars) and y is years of education beyond high school.
(a) Find S (27, 4). (Round your answer to two decimal places.)
Interpret this number.
O Status decreases for each additional $1000 of income.
O Status increases for each additional $1000 of income.
O Status decreases for each additional year of education.
O Status increases for each additional year of education.
O none of these
(b) Find S (27, 4).
Interpret this number.
O Status decreases for each additional $1000 of income.
O Status increases for each additional $1000 of income.
O Status decreases for each additional year of education.
O Status increases for each additional year of education.
O none of these
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY