The concentration C ( t ) ( in ng/mL ) of a drug in the bloodstream t hours after ingestion is modeled by c ( t ) = 500 t r 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [ 0 , 32 , 4 ] by [ 0 , 10 , 3 ] . b. Use the Intersect feature to approximate the point (s) of intersection of y = C ( t ) and y = 4 . Round to 1 decimal place if necessary. c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below 4 ng/mL for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
The concentration C ( t ) ( in ng/mL ) of a drug in the bloodstream t hours after ingestion is modeled by c ( t ) = 500 t r 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [ 0 , 32 , 4 ] by [ 0 , 10 , 3 ] . b. Use the Intersect feature to approximate the point (s) of intersection of y = C ( t ) and y = 4 . Round to 1 decimal place if necessary. c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below 4 ng/mL for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
Solution Summary: The author explains how to graph the function using the TI-83 graphing calculator.
The concentration
C
(
t
)
(
in ng/mL
)
of a drug in the bloodstream t hours after ingestion is modeled by
c
(
t
)
=
500
t
r
3
+
100
a. Graph the function
y
=
C
(
t
)
and the line
y
=
4
on the window
[
0
,
32
,
4
]
by
[
0
,
10
,
3
]
.
b. Use the Intersect feature to approximate the point (s) of intersection of
y
=
C
(
t
)
and
y
=
4
. Round to 1 decimal place if necessary.
c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below
4
ng/mL
for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
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