Radius (feet) 80 70 80 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 Time (minutes) (a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of 7. 400п square feet (b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a function of the radius of the spill, r. Use a lower case k as the proportionality constant. C(r) = (c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to increase from 20 feet to 60 feet? Or-¹(80-30) Or¹(60)-¹(20) Or(80) - r(30) Or(60) - r(20) Or¹(80) r¹(30)

Radius (feet) 80 70 80 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 Time (minutes) (a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of 7. 400п square feet (b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a function of the radius of the spill, r. Use a lower case k as the proportionality constant. C(r) = (c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to increase from 20 feet to 60 feet? Or-¹(80-30) Or¹(60)-¹(20) Or(80) - r(30) Or(60) - r(20) Or¹(80) r¹(30)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.5: Differentials: Linear Approximation

Problem 25E: LIFE SCIENCE APPLICATIONS Area of a Bacteria Colony The shape of a colony of bacteria on a petri...

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