The area of an ellipse is given by A = πa-b. Suppose the lengths a and b are changing with time. (a) Find dA dt dA dt b a Use the symbols and da dt db dt --units-- (b) When a = 720 inches, a is decreasing by 5 inches per minute and b = 205 inches. If the area of the ellipse remains constant at this time, how fast is b changing? Give an exact answer. Do not use a' and b'. ✓v

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The area of an ellipse is given by A = πa.b. Suppose the lengths a and b are changing with time.
(a) Find
dA
dt
dA
dt
b
a
da
Use the symbols and
dt
db
dt
--units--
Do not use a ' and b'.
(b) When = 720 inches, a is decreasing by 5 inches per minute and b = 205 inches. If the rea of the ellipse remains constant at this time, how fast is b changing? Give an exact answer
Transcribed Image Text:The area of an ellipse is given by A = πa.b. Suppose the lengths a and b are changing with time. (a) Find dA dt dA dt b a da Use the symbols and dt db dt --units-- Do not use a ' and b'. (b) When = 720 inches, a is decreasing by 5 inches per minute and b = 205 inches. If the rea of the ellipse remains constant at this time, how fast is b changing? Give an exact answer
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