Related rates problem: The floating cap of sea ice on the Artic Ocean has been sinking since 1980. The ice cap always shrinks in summer and grows in winter. Average minimum size of the ice cap, in square miles, can be approximated by A = ar. In 2013, the radius of the ice cap was a pproxima tely 792 miles and wasshrinking at a rate of appraximately 4.7 mi/Vyr. How fast was the area changing at that time?
Related rates problem: The floating cap of sea ice on the Artic Ocean has been sinking since 1980. The ice cap always shrinks in summer and grows in winter. Average minimum size of the ice cap, in square miles, can be approximated by A = ar. In 2013, the radius of the ice cap was a pproxima tely 792 miles and wasshrinking at a rate of appraximately 4.7 mi/Vyr. How fast was the area changing at that time?
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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Transcribed Image Text:Related rates problem:
The floating cap of sea ice on the Artic Ocean has been sinking since 1980. The ice cap always
shrinks in summer and grows in winter. Average minimum size of the ice cap, in square miles,
can be approximated by A = ar?. In 2013, the radius of the ice cap was appraximately 792
miles and wasshrinking at a rate of appraximately 4.7 mi/yr. How fast was the area changing at
that time?
Expert Solution
Given,
mi/yr, here negative sign represents shrinking of ice cap.
Now consider the area of the ice cap,
Differentiating with respect to t (time), we get
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