Part 3. A drug is administered to a patient through an injection. The drug concentration (in milligrams per milliliter) in the 151²(+14) ³+150 bloodstream thours after the injection is given by C (1) = a. Use a graphing tool (GeoGebra) to show the graph of C(1) in the context of the situation. The graph should have its independent variable (t) for the horizontal axis with an interval of ten (10) units up to the value one hundred fifty (150), and the drug concentration C(1) for the vertical axis with an interval of five (5) units up to the value forty (40). Place the label of the graph on the upper right hand part of the cartesian plane. b. Construct a table of values to show the drug concentration in the patient's bloodstream for the first day. The value of the independent variable (t) should have one (1) hour as the interval and write or give the value of C(1) in its exact form along with the numerical value up to five (5) decimal places rounded off. c. What will be the drug concentration in a patient's bloodstream as time (t) increases without bound? Support your answer analytically using the concept of limits.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question
Part 3. A drug is administered to a patient through an injection. The drug concentration (in milligrams per milliliter) in the
15r²(x+14)
³+150
bloodstream thours after the injection is given by C(1) =
a. Use a graphing tool (GeoGebra) to show the graph of C(1) in the context of the situation. The graph should have its
independent variable (t) for the horizontal axis with an interval of ten (10) units up to the value one hundred fifty (150), and
the drug concentration C(1) for the vertical axis with an interval of five (5) units up to the value forty (40). Place the label
of the graph on the upper right hand part of the cartesian plane.
b. Construct a table of values to show the drug concentration in the patient's bloodstream for the first day. The value of
the independent variable (t) should have one (1) hour as the interval and write or give the value of C() in its exact form
along with the numerical value up to five (5) decimal places rounded off.
c. What will be the drug concentration in a patient's bloodstream as time (7) increases without bound? Support your
answer analytically using the concept of limits.
151²(x+14)
1³+b
Consider a modification of the model where C(1) --
a. What is the effect on the drug concentration if b is a value between one hundred (100) and one hundred fifty (150)
instead of the original value?
b. What is the effect on the drug concentration if b is a value between one hundred fifty (150) and two hundred (200)
instead of the original value?
c. What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases
without bound? Compare the result with the original model for C(+).
Transcribed Image Text:Part 3. A drug is administered to a patient through an injection. The drug concentration (in milligrams per milliliter) in the 15r²(x+14) ³+150 bloodstream thours after the injection is given by C(1) = a. Use a graphing tool (GeoGebra) to show the graph of C(1) in the context of the situation. The graph should have its independent variable (t) for the horizontal axis with an interval of ten (10) units up to the value one hundred fifty (150), and the drug concentration C(1) for the vertical axis with an interval of five (5) units up to the value forty (40). Place the label of the graph on the upper right hand part of the cartesian plane. b. Construct a table of values to show the drug concentration in the patient's bloodstream for the first day. The value of the independent variable (t) should have one (1) hour as the interval and write or give the value of C() in its exact form along with the numerical value up to five (5) decimal places rounded off. c. What will be the drug concentration in a patient's bloodstream as time (7) increases without bound? Support your answer analytically using the concept of limits. 151²(x+14) 1³+b Consider a modification of the model where C(1) -- a. What is the effect on the drug concentration if b is a value between one hundred (100) and one hundred fifty (150) instead of the original value? b. What is the effect on the drug concentration if b is a value between one hundred fifty (150) and two hundred (200) instead of the original value? c. What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases without bound? Compare the result with the original model for C(+).
Consider another modification of the model where C(1)
at²(t+14)
1³ + 150
a. What is the effect on the drug concentration if a is a value between ten (10) and fifteen (15) instead of the original value?
b. What is the effect on the drug concentration if a is a value between fifteen (15) and twenty (20) instead of the original
value?
c. What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases
without bound? Compare the result with the original model for C(t).
Transcribed Image Text:Consider another modification of the model where C(1) at²(t+14) 1³ + 150 a. What is the effect on the drug concentration if a is a value between ten (10) and fifteen (15) instead of the original value? b. What is the effect on the drug concentration if a is a value between fifteen (15) and twenty (20) instead of the original value? c. What will be the effect of the modification in the drug concentration in a patient's bloodstream as time (t) increases without bound? Compare the result with the original model for C(t).
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning