The cost to remove a toxin from a lake is modeled 55p by the function C(p) where C is the 70 – p cost (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 70 ppb. a. Find the cost in dollars to remove 30 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f¯'(C) = %3D c. Use part b. to determine how much toxin is removed for $80,000. ppb (round to p = 2 decimal places)
The cost to remove a toxin from a lake is modeled 55p by the function C(p) where C is the 70 – p cost (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 70 ppb. a. Find the cost in dollars to remove 30 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f¯'(C) = %3D c. Use part b. to determine how much toxin is removed for $80,000. ppb (round to p = 2 decimal places)
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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![The cost to remove a toxin from a lake is modeled
55p
by the function C'(p)
where C is the
70 – P
cost (in thousands of dollars) and p is the amount
of toxin in a small lake (measured in parts per
billion [ppb]). This model is valid only when the
amount of toxin is less than 70 ppb.
a. Find the cost in dollars to remove 30 ppb of the
toxin from the lake.
C = $
(round to
the nearest whole dollar)
b. Find the formula for the inverse function.
p = f¯'(C) =
%3D
c. Use part b. to determine how much toxin is
removed for $80,000.
ppb (round to
p =
2 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd44dbade-7eab-4d9c-9f71-8e5456d7c718%2F848bcb86-80d8-4c0f-93cb-8c30139d82a7%2Faznjjh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cost to remove a toxin from a lake is modeled
55p
by the function C'(p)
where C is the
70 – P
cost (in thousands of dollars) and p is the amount
of toxin in a small lake (measured in parts per
billion [ppb]). This model is valid only when the
amount of toxin is less than 70 ppb.
a. Find the cost in dollars to remove 30 ppb of the
toxin from the lake.
C = $
(round to
the nearest whole dollar)
b. Find the formula for the inverse function.
p = f¯'(C) =
%3D
c. Use part b. to determine how much toxin is
removed for $80,000.
ppb (round to
p =
2 decimal places)
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