The concentration C ( t ) (in ng/mL) of a drug in the bloodstream t hours after ingestion is modeled by C ( t ) = 500 t t 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [0, 32, 4] by [0, 15, 3]. b. Use the Intersect featne 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 t 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [0, 32, 4] by [0, 15, 3]. b. Use the Intersect featne 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 the graph of the given function, the point of intersection, and the time at which it is safe to give a second dosage.
The concentration C(t) (in ng/mL) of a drug in the bloodstream t hours after ingestion is modeled by
C
(
t
)
=
500
t
t
3
+
100
a. Graph the function
y
=
C
(
t
)
and the line y = 4 on the window [0, 32, 4] by [0, 15, 3].
b. Use the Intersect featne 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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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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