Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond. The outside edge of the growth is roughly circular, and Andrew estimates when the radius of the bloom is 40 m, it is growing at a rate of 3mm/min. a. At what rate is the area covered in m/s covered by the algae increasing at this time b. the area assumes increases at a constant rate, at what rate is the radius increasing 5 h later?

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...
Question

Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond. The outside edge of the growth is roughly circular, and Andrew estimates when the radius of the bloom is 40 m, it is growing at a rate of 3mm/min.

a. At what rate is the area covered in m/s covered by the algae increasing at this time

b. the area assumes increases at a constant rate, at what rate is the radius increasing 5 h later?

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