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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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provide complete procedure

Activity 6.1.3. In each of the following problems, our goal is to determine the area
of the region described. For each region, (i) determine the intersection points of the
curves, (ii) sketch the region whose area is being found, (iii) draw and label a repre-
sentative slice, and (iv) state the area of the representative slice. Then, state a defi-
nite integral whose value is the exact area of the region, and evaluate the integral to
find the numeric value of the region's area. Note well: At the step where you draw
a representative slice, you need to make a choice about whether to slice vertically or
horizontally.
c. The area bounded by the x-axis, y = x², and y = 2 - x.
d. The finite regions between the curves x = y² - 2y and y = x.

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