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Assignment help 7898

by | Jun 24, 2023 | Posted Assignments

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The cost,

C

, in millions of dollars, of cleaning

up an oil spill can be modelled by the function

C

(

p

)

±

20

__

100

²

p

, where

p

is the percent of

the oil that was spilled. The rate of change

of the cost, in millions of dollars, is given by

R

(

p

)

±

20

__

(100

²

p

)

2

.

a)

State the domain and range of each

function, and explain what they mean.

b)

Calculate the rate of change at

p

±

50,

using the slope of the tangent to

C

(

p

).

c)

Compare the rate of change from part b)

to that using the rate of change function

R

(

p

)

for

p

±

50.

d)

Write a report outlining the cost of cleaning

up the oil spill. Include the following:

graphs of

C

(

p

) and

R

(

p

)

the total cost to clean up 25%, 50%,

and 90% of the spill

the rate of change of the cost at 25%,

50%, and 90% of the spill

50%, and 90% of the spill

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