Explanation Given: The functions are x = 4 y , x = 24 − 8 y and y = 0 . Formula used: Area of the region A = ∫ c d [ ( Right function ) − ( Left function ) ] d x Where c ≤ x ≤ d Calculation: The functions are x = 4 y , x = 24 − 8 y and y = 0 . The graphs of x = 4 y , x = 24 − 8 y intersect where 4 y = 24 − 8 y 4 y − 24 + 8 y = 0 12 y − 24 = 0 Add both sides by 24. 12 y − 24 + 24 = 0 + 24 12 y = 24 Divide both sides by 12. 12 y 12 = 24 12 y = 2 The graph of the function is: Thus, the enclosed area lies over the interval [ 0 , 2 ] . The region enclosed by the graphs of x = 4 y , x = 24 − 8 y and y = 0 over the interval [ 0 , 2 ] ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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