A circular oil spill on the surface of the ocean spreads outward. a. Using first principle of finding the derivative find a simplified expression representing the rate of change of the area of oil spill as a function of its radius [Hint: What's area formula of a circle?] b. Now find the rate of change of area of the oil spillage when radius of the circle is 100 m. Write the units and explain the meaning of this value.
A circular oil spill on the surface of the ocean spreads outward. a. Using first principle of finding the derivative find a simplified expression representing the rate of change of the area of oil spill as a function of its radius [Hint: What's area formula of a circle?] b. Now find the rate of change of area of the oil spillage when radius of the circle is 100 m. Write the units and explain the meaning of this value.
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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Need help with grade 12 calculus review question 16 a) and 16 b)ASAP
![A circular oil spill on the surface of the ocean spreads outward.
a. Using first principle of finding the derivative find a simplified expression representing the rate of
change of the area of oil spill as a function of its radius [Hint: What's area formula of a circle?]
16.
b. Now find the rate of change of area of the oil spillage when radius of the circle is 100 m. Write the
units and explain the meaning of this value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1066ff81-1c35-40bf-8f96-8b0479a43954%2F2b3a907f-6d3b-43f2-95d4-b41968e3d86d%2F7g89nd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A circular oil spill on the surface of the ocean spreads outward.
a. Using first principle of finding the derivative find a simplified expression representing the rate of
change of the area of oil spill as a function of its radius [Hint: What's area formula of a circle?]
16.
b. Now find the rate of change of area of the oil spillage when radius of the circle is 100 m. Write the
units and explain the meaning of this value.
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