Explanation Given information : Given graph of a parabola having its axis as y axis and a line that is parallel to y axis, so that the equation of such parabola is x 2 = y and a vertical line x = 2 and the required shaded area is enclosed between these two curves and horizontal x axis. Accordingly it is also given from the given graph that lower limit a = 0 and upper limit b = 2 . Formula used : Such shaded area can be calculated using integral calculus where this area A is calculated using the following integration formula: A = ∫ a b y d x Where a is the x coordinate of starting point of shaded area and b is the x coordinate of end point of shaded area, on the curve of parabola. Calculation : On plug in the said values in the above formula, required shaded area is calculated as: A = ∫ 0 2 x 2 d x = [ x 3 3 ] 0 2 x

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.1, Problem 41PS

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To calculate the shaded area enclosed by the curve of different functions.

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Chapter 1.1, Problem 40PS

Chapter 1.1, Problem 42PS

Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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Chapter 1 Solutions