Cortisone Concentration A mathematical model for the concentration of administered cortisone in humans over a 24 hour period uses the function
Where
a. What is the value of
b. What happens to the concentration as a large amount of time passes? Explain why this makes sense.
c. The researchers used the values
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Calculus For The Life Sciences
- Total Body Water Accurate prediction of total body water is critical in determining adequate dialysis doses for patients with renal disease. For white males, total body water can be estimated by the function T(A,W,B)=23.040.03A+0.50W0.62B where T is the total body water in liters, A is age in yr, W is weight in kg, and B is the body mass index. Source: Kidney International. Find T(55,75,30).arrow_forwardGrade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardaThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).arrow_forward
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