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Be able to relate the area between two curves (functions) on a Cartesian graph to the algebraic representation as a definite integral of a difference of those two functions. Be able to compute the definite integral of the area between curves given the two functions represented by the curves and limits. Be able to interpret what the area between curves represent with given business functions (e.g. cost and revenue) and compute the area between curves representing a desired business value (e.g. total net profit).
Questions answered by this video:
How do you find the area between curves / functions?
If you subtract a country's import function from the country's export function and integrate the difference, how do you find the total trade balance for the company for a span of years?
What is trade balance, trade deficit, or trade surplus?
How do you find the area between two curves if they overlap and cross paths?
How can you tell whether an integral will be positive or negative?
How do you find the area between curves or functions on a TI graphing calculator?
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