Human Skin Surface The surface of the skin is made up of a network of intersecting lines that form polygons. Research- ers have discovered a functional relationship between the age of a male and the number of polygons per area of skin accord- ing to P(t) = 241.75 – 10.372t + 0.312471² – 0.00444741³ + 0.000022195r* ,0 <1 < 95, where t is the age of the person (in years) and P(t) is the num- ber of polygons for a particular surface area of skin. Source: Gerontology. a. Use a graphing calculator to sketch the graph of P(t) on [0, 95] by [0, 300]. b. Find the maximum and minimum number of polygons per area predicted by the model. c. Discuss the accuracy of this model for older people.
Human Skin Surface The surface of the skin is made up of a network of intersecting lines that form polygons. Research- ers have discovered a functional relationship between the age of a male and the number of polygons per area of skin accord- ing to P(t) = 241.75 – 10.372t + 0.312471² – 0.00444741³ + 0.000022195r* ,0 <1 < 95, where t is the age of the person (in years) and P(t) is the num- ber of polygons for a particular surface area of skin. Source: Gerontology. a. Use a graphing calculator to sketch the graph of P(t) on [0, 95] by [0, 300]. b. Find the maximum and minimum number of polygons per area predicted by the model. c. Discuss the accuracy of this model for older people.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Human Skin Surface The surface of the skin is made up of
a network of intersecting lines that form polygons. Research-
ers have discovered a functional relationship between the age
of a male and the number of polygons per area of skin accord-
ing to
P(t) = 241.75 – 10.372t + 0.312471² – 0.00444741³
+ 0.000022195r* ,0 <1 < 95,
where t is the age of the person (in years) and P(t) is the num-
ber of polygons for a particular surface area of skin. Source:
Gerontology.
a. Use a graphing calculator to sketch the graph of P(t) on
[0, 95] by [0, 300].
b. Find the maximum and minimum number of polygons per
area predicted by the model.
c. Discuss the accuracy of this model for older people.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a945bc0-3252-4d3a-b00e-4e680a8d8d0a%2F487f600f-25f7-4365-b98d-3ddab6bb48ff%2Fugebxxs_processed.png&w=3840&q=75)
Transcribed Image Text:Human Skin Surface The surface of the skin is made up of
a network of intersecting lines that form polygons. Research-
ers have discovered a functional relationship between the age
of a male and the number of polygons per area of skin accord-
ing to
P(t) = 241.75 – 10.372t + 0.312471² – 0.00444741³
+ 0.000022195r* ,0 <1 < 95,
where t is the age of the person (in years) and P(t) is the num-
ber of polygons for a particular surface area of skin. Source:
Gerontology.
a. Use a graphing calculator to sketch the graph of P(t) on
[0, 95] by [0, 300].
b. Find the maximum and minimum number of polygons per
area predicted by the model.
c. Discuss the accuracy of this model for older people.
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