Mary A.
asked • 05/20/21Sketch the region enclosed by the given curves. Find its area.
Sketch the region enclosed by the given curves. Find its area.
x = 9y2, x = 5 + 4y2
More
1 Expert Answer
Yefim S. answered • 05/20/21
Tutor
5
(20)
Math Tutor with Experience
Limits of integration: 9y2 = 5 + 4y2; 5y2 = 5; y2 = 1; y = -1 or y = 1
Area A = ∫-11(4y2 + 5 - 9y2)dy = ∫-11(5 - 5y2)dy = 2∫01(5 - 5y2)dy = 2(5y - 5y3/3)01 = 2(5 - 5/3) = 20/3
Mary A.
Thank you!
Report
05/21/21
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Rupesh P.
i will explain you this question from basic through video so please watch the video answer05/20/21