Oil is leaking from an oil tanker at the rate of 3, 500 gallons per day. At this rate the radius of the circular slick of oil is increasing at a rate of 5 miles per day. a. Create a function, call it r(t), that models the radius of the circular slick of oil at a time, t, days after the beginning of the leak. That is, find an expression for r(t). r(t) b. The area of a circle is given by the formula A 7². Create a function, call it A(t), that models the area of the oil slick at time t. That is, find an expression for A[r(t)]. A(t) c. To the nearest whole number, what will the area of the oil slick 3 days after the beginning of the leak? square miles d. If it costs $7, 000, 000 to clean the oil from each square mile of the ocean, what is the cost of this spill 3 days after the beginning of the leak? Answer in millions of dollars using your rounded answer from part c. in your calculations. million
Oil is leaking from an oil tanker at the rate of 3, 500 gallons per day. At this rate the radius of the circular slick of oil is increasing at a rate of 5 miles per day. a. Create a function, call it r(t), that models the radius of the circular slick of oil at a time, t, days after the beginning of the leak. That is, find an expression for r(t). r(t) b. The area of a circle is given by the formula A 7². Create a function, call it A(t), that models the area of the oil slick at time t. That is, find an expression for A[r(t)]. A(t) c. To the nearest whole number, what will the area of the oil slick 3 days after the beginning of the leak? square miles d. If it costs $7, 000, 000 to clean the oil from each square mile of the ocean, what is the cost of this spill 3 days after the beginning of the leak? Answer in millions of dollars using your rounded answer from part c. in your calculations. million
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Oil is leaking from an oil tanker at the rate of 3, 500 gallons per day. At this rate the radius of the
circular slick of oil is increasing at a rate of 5 miles per day.
a. Create a function, call it r(t), that models the radius of the circular slick of oil at a time, t. days after
the beginning of the leak. That is, find an expression for r(t).
r(t)
b. The area of a circle is given by the formula A 7². Create a function, call it A(t), that models the
area of the oil slick at time t. That is, find an expression for A[r(t)].
A(t)
c. To the nearest whole number, what will the area of the oil slick 3 days after the beginning of the
leak?
square miles
d. If it costs $7, 000, 000 to clean the oil from each square mile of the ocean, what is the cost of this
spill 3 days after the beginning of the leak? Answer in millions of dollars using your rounded answer
from part c. in your calculations.
million](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff821f9aa-4788-41c9-90a4-53f493bbfa90%2F8781e2e6-b2f5-4312-ad9b-0b98ca2f3eb0%2F9tma5qo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Oil is leaking from an oil tanker at the rate of 3, 500 gallons per day. At this rate the radius of the
circular slick of oil is increasing at a rate of 5 miles per day.
a. Create a function, call it r(t), that models the radius of the circular slick of oil at a time, t. days after
the beginning of the leak. That is, find an expression for r(t).
r(t)
b. The area of a circle is given by the formula A 7². Create a function, call it A(t), that models the
area of the oil slick at time t. That is, find an expression for A[r(t)].
A(t)
c. To the nearest whole number, what will the area of the oil slick 3 days after the beginning of the
leak?
square miles
d. If it costs $7, 000, 000 to clean the oil from each square mile of the ocean, what is the cost of this
spill 3 days after the beginning of the leak? Answer in millions of dollars using your rounded answer
from part c. in your calculations.
million
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