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 bloodstream t hours after taking the pill is modeled by C t = 3 t 2 t 2 + 20 t + 51 a. Use a graphics 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 bloodstream t hours after taking the pill is modeled by C t = 3 t 2 t 2 + 20 t + 51 a. Use a graphics 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 graph of the function is shown below. The curve in the graph shows the turning point x=5
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 bloodstream t hours after taking the pill is modeled by
C
t
=
3
t
2
t
2
+
20
t
+
51
a. Use a graphics 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.
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.
write it down for better understanding please
1. Suppose F(t) gives the temperature in degrees Fahrenheit t minutes after 1pm. With a
complete sentence, interpret the equation F(10) 68. (Remember this means explaining
the meaning of the equation without using any mathy vocabulary!) Include units. (3 points)
=
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.