Find the area between the cubic xy² = a³ and the lines y = a and x = 0. arabola ² ” ។+ ''។ r-r-""-។ ---- * * [" 4! pa

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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kindly anwer the following number 9-15. thank you

B. Solve by iterated integration in rectangular coordinates.
9. Find the area between the cubic xy² = a³ and the lines y = a and x = 0.
10. Find the area bounded by the parabola y² = 4ax and its latus rectum.
11. Find the area between the curves x² = 2ay, x² = 4ay-a²
12. Find the area between the curve y = 2x(x+2) and the line y = -2x.
13. Find the area between the curve y² = -4x and the line y = -2(x+2)
14. Find the volume of a sphere. Use cylindrical coordinates.
15. Find the volume of a circular cone.
Transcribed Image Text:B. Solve by iterated integration in rectangular coordinates. 9. Find the area between the cubic xy² = a³ and the lines y = a and x = 0. 10. Find the area bounded by the parabola y² = 4ax and its latus rectum. 11. Find the area between the curves x² = 2ay, x² = 4ay-a² 12. Find the area between the curve y = 2x(x+2) and the line y = -2x. 13. Find the area between the curve y² = -4x and the line y = -2(x+2) 14. Find the volume of a sphere. Use cylindrical coordinates. 15. Find the volume of a circular cone.
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