The integrals and sums of integrals in Exercises 13–18 give the areas of regions in the xy-plane. Sketch each region, label each bounding curve with its equation, and give the coordinates of the points where the curves intersect. Then find the area of the region. • 2y dx dy y²/3 -3 рx(2—х) 13. 14. dy dx • T/4 ccos x •y+2 15. dy dx 16. dx dy sin x dy dx + -2x 17. dy dx -x/2 Vã dy dx + x²-4 18. dy dx

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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The integrals and sums of integrals in Exercises 13–18 give the areas
of regions in the xy-plane. Sketch each region, label each bounding
curve with its equation, and give the coordinates of the points where
the curves intersect. Then find the area of the region.
• 2y
dx dy
y²/3
-3 рx(2—х)
13.
14.
dy dx
• T/4 ccos x
•y+2
15.
dy dx
16.
dx dy
sin x
dy dx +
-2x
17.
dy dx
-x/2
Vã
dy dx +
x²-4
18.
dy dx
Transcribed Image Text:The integrals and sums of integrals in Exercises 13–18 give the areas of regions in the xy-plane. Sketch each region, label each bounding curve with its equation, and give the coordinates of the points where the curves intersect. Then find the area of the region. • 2y dx dy y²/3 -3 рx(2—х) 13. 14. dy dx • T/4 ccos x •y+2 15. dy dx 16. dx dy sin x dy dx + -2x 17. dy dx -x/2 Vã dy dx + x²-4 18. dy dx
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