A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration C ( t ) (in mg/L) of the active ingredient in the blood stream t hours after taking the pill is modeled by C ( t ) = 3 t 2 t 2 − 20 t + 51 a . Use a graphing utility to graph the function. b . What are the domain restrictions on the function? c . Use the graph to approximate the maximum concentration. Round to the nearest mg/L. d . What is the limiting concentration?
A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration C ( t ) (in mg/L) of the active ingredient in the blood stream t hours after taking the pill is modeled by C ( t ) = 3 t 2 t 2 − 20 t + 51 a . Use a graphing utility to graph the function. b . What are the domain restrictions on the function? c . Use the graph to approximate the maximum concentration. Round to the nearest mg/L. d . What is the limiting concentration?
Solution Summary: The author illustrates how to graph a function using TI-83 graphing calculator.
A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration
C
(
t
)
(in mg/L) of the active ingredient in the blood stream t hours after taking the pill is modeled by
C
(
t
)
=
3
t
2
t
2
−
20
t
+
51
a. Use a graphing utility to graph the function.
b. What are the domain restrictions on the function?
c. Use the graph to approximate the maximum concentration. Round to the nearest mg/L.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY