Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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EXAMPLE 6 Find the area enclosed by the line y = x – 5 and the parabola y? = 2x + 70.
-8) and
10). We solve the equation of the parabola for x and notice from the figure that the left and right
SOLUTION By solving the two equations we find that the points of intersection are
boundary curves are
35 and XR = y + 5.
We must integrate between the appropriate y-values, y = -8 and y = 10. Thus
10
A =
(XR - XL) dy
10
(y + 5)
dy
-8
- LC
10
dy
110
-8
+ 50 + 40 -
+ 32 - 320
Transcribed Image Text:EXAMPLE 6 Find the area enclosed by the line y = x – 5 and the parabola y? = 2x + 70. -8) and 10). We solve the equation of the parabola for x and notice from the figure that the left and right SOLUTION By solving the two equations we find that the points of intersection are boundary curves are 35 and XR = y + 5. We must integrate between the appropriate y-values, y = -8 and y = 10. Thus 10 A = (XR - XL) dy 10 (y + 5) dy -8 - LC 10 dy 110 -8 + 50 + 40 - + 32 - 320
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