In Exercises 1–3, sketch the region bounded by the given lines and curves. Then express the region’s area as an iterated double integral and evaluate the integral. 1. The parabola x = -y2 and the line y = x + 2 2. The parabola x = y - y2 and the line y = -x 3. The curve y = ex and the lines y = 0, x = 0, and x = ln 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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In Exercises 1–3, sketch the region bounded by the given lines and curves. Then express the region’s area as an iterated double integral and evaluate the integral.

1. The parabola x = -y2 and the line y = x + 2

2. The parabola x = y - y2 and the line y = -x

3. The curve y = ex and the lines y = 0, x = 0, and x = ln 2

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