6 (a) Sketch the curve z = y² - 3y and the line x + y = 3, and find the exact value of the area enclosed. (b) Sketch the region enclosed by the curve y = √2r and the line y = x, and find the volume of the solid obtained by revolution of this region about the line y = -1. Find the average value of f(x) = =√16-2² on the interval [0, 2].
6 (a) Sketch the curve z = y² - 3y and the line x + y = 3, and find the exact value of the area enclosed. (b) Sketch the region enclosed by the curve y = √2r and the line y = x, and find the volume of the solid obtained by revolution of this region about the line y = -1. Find the average value of f(x) = =√16-2² on the interval [0, 2].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Ppart b,c
![6
(a)
Sketch the curve z = y² - 3y and the line x +y = 3, and find the exact
value of the area enclosed.
(b)
Sketch the region enclosed by the curve y = √2r and the line y = x,
and find the volume of the solid obtained by revolution of this region
about the line y = -1.
Find the average value of f(x) =
(c)
=√16-2² on the interval [0, 2].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34fa82bb-7127-4aeb-a88f-fcbadbc3a581%2Fb5c0bb59-99a8-4420-93b4-1bfb7634b2f8%2F9lakilrv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6
(a)
Sketch the curve z = y² - 3y and the line x +y = 3, and find the exact
value of the area enclosed.
(b)
Sketch the region enclosed by the curve y = √2r and the line y = x,
and find the volume of the solid obtained by revolution of this region
about the line y = -1.
Find the average value of f(x) =
(c)
=√16-2² on the interval [0, 2].
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