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: f (t) = 175.9te T %3D 9(t) = 113.6te Ts %3D 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 f (t) and g (t) with the symbolic constants a and b.[2] (b) Calculate the derivative h' (t).[3] (c) Find the intervals of increase or decrease of h (t).[7] (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.4] (e) Calculate the derivative h" (t).[5] (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.[9]
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
These are not graded, they are practice questions please answer them. thank you
![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:
f (t) = 175.9te
g (t) = 113.6te 1.85
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 f (t) and g (t) with the symbolic constants a and b. 2]
(b) Calculate the derivative h' (t).[3]
(c) Find the intervals of increase or decrease of h (t).[7]
(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.[4]
(e) Calculate the derivative h" (t).[5]
(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.[9]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36d6fe89-d14a-4227-9f27-da3b7b80bd53%2F285a3d71-3ca9-4fbf-9704-2371c12d2564%2Fqdml629_processed.jpeg&w=3840&q=75)
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