Cost of pollution control. Cities and companies find that the cost of pollution control increases along with the percentage of pollutants being removed. Suppose the cost C , in dollars, of removing p % of the pollutants from a chemical spill is given by C ( p ) = 48 , 000 100 − p . a. Find C ( 0 ) , C ( 20 ) , C ( 80 ) , and C ( 90 ) . b. Find the domain of C . c. Draw a graph of C . d. d) Can the company or city afford to remove 100% of the pollutants due to this spill? Explain.
Cost of pollution control. Cities and companies find that the cost of pollution control increases along with the percentage of pollutants being removed. Suppose the cost C , in dollars, of removing p % of the pollutants from a chemical spill is given by C ( p ) = 48 , 000 100 − p . a. Find C ( 0 ) , C ( 20 ) , C ( 80 ) , and C ( 90 ) . b. Find the domain of C . c. Draw a graph of C . d. d) Can the company or city afford to remove 100% of the pollutants due to this spill? Explain.
Solution Summary: The author calculates the cost of removing p% of the pollutants from a chemical spill.
Cost of pollution control. Cities and companies find that the cost of pollution control increases along with the percentage of pollutants being removed. Suppose the cost C, in dollars, of removing p% of the pollutants from a chemical spill is given by
C
(
p
)
=
48
,
000
100
−
p
.
a. Find
C
(
0
)
,
C
(
20
)
,
C
(
80
)
,
and
C
(
90
)
.
b. Find the domain of C.
c. Draw a graph of C.
d. d) Can the company or city afford to remove 100% of the pollutants due to this spill? Explain.
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
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