The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which is measured in kJ/h, researchers use the following functions: S (t) = 175.9te 9 (t) = 113.6te where f (t) is the TEF for a lean person and g (t) is the TEF for an obese person respectively and t, is the time in hours. Find the marimum value of the TEF for both individuals. Solve the above, by answering the following questions: (a) Examine both functions above and then rewrite the TEF as a single general function h (t) by replacing the numerical constants in s (t) and g (t) with the symbolic constants a and b. (b) Calculate the derivative h' (t). (c) Find the intervals of increase or decrease of h (t). (d) Using your answer found in part (c) above, find the maximum TEF for a lean person and the maximum TEF for an obese person respectively by substituting the appropriate values for a and b. (e) Calculate the derivative h" (t). (f) Using your answer found in part (e) above, find the inflection point for the graph of f (t) (for a lean person) and for the graph of g (t) (for an obese person) respectively and interpret in your own words the physical meaning of this term.
The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which is measured in kJ/h, researchers use the following functions: S (t) = 175.9te 9 (t) = 113.6te where f (t) is the TEF for a lean person and g (t) is the TEF for an obese person respectively and t, is the time in hours. Find the marimum value of the TEF for both individuals. Solve the above, by answering the following questions: (a) Examine both functions above and then rewrite the TEF as a single general function h (t) by replacing the numerical constants in s (t) and g (t) with the symbolic constants a and b. (b) Calculate the derivative h' (t). (c) Find the intervals of increase or decrease of h (t). (d) Using your answer found in part (c) above, find the maximum TEF for a lean person and the maximum TEF for an obese person respectively by substituting the appropriate values for a and b. (e) Calculate the derivative h" (t). (f) Using your answer found in part (e) above, find the inflection point for the graph of f (t) (for a lean person) and for the graph of g (t) (for an obese person) respectively and interpret in your own words the physical meaning of this term.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
Related questions
Topic Video
Question
Please assist with a, b, c and d
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning