LIFE SCIENCE APPLICATIONS
Milk Consumption
The average individual daily milk consumption for herds of Charolaise, Angus, and Hereford calves can be by the function.
Where
a. Find the time in which the maximum daily consumption occurs and the maximum daily consumption.
b. If the general formula for this model is given by
Find the time where the maximum consumption occurs and the maximum consumption.(Hint: Express your answer in terms of a ,b and c.)
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Calculus For The Life Sciences
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Mathematics for Calculus - 6th Edition
Precalculus: A Unit Circle Approach
Calculus: Single And Multivariable
Precalculus: A Unit Circle Approach (3rd Edition)
Precalculus: Mathematics for Calculus (Standalone Book)
- LIFE SCIENCE APPLICATIONS Metabolic Rate The basal metabolic rate in kcal/day for large anteaters is given by y=f(x)=19.7x0.753, where x is the anteaters weight in kilograms. Source: Wild-life Feeding and Nutrition. a. Find the basal metabolic rate for anteaters with the following weights. i. 5kg ii. 25kg b. Suppose the anteaters weight is given in pounds rather than kilograms. Given that 1lb=0.454kg, find a function x=g(z) giving the anteaters weight in kilograms if z is the animals weight in pounds. c. Write the basal metabolic rate as a function of the weight in pounds in the form y=azb by calculating f(g(z)).arrow_forwardTotal 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_forwardPoultry Farming Researchers at Iowa State University and the University of Arkansas have developed a piecewise function that can be used to estimate the body weight in grams of a male broiler during the first 56 days of life according to W(t)={48+3.64t+0.6363t2+0.00963t3if1t28,1004+65.8tif28t56, Where t is the age of the chicken in days. Source: Poultry Science. a. Determine the weight of a male broiler that is 25 days old . b. Is W(t) a continuous function? c. Use a graphing calculator to graph W(t) on [1,56] by [0,3000].Comment on the accuracy of the graph. d. Comment on why researchers use two different types of functions to estimate the weight of a chicken at various ages.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage