a. Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body temperature, T(1), of a lizard is measured for a period of 18 hours from midnight until 6 PM. The body temperature (in *C ) of the lizard over this period of time (in hours) is found to be well approximated by the polynomial T(1) = -0.009r³ + 0.285r? – 1.7t + 17.5. Find the general expression for the rate of change of body temperature per hour, T'() = b. Use this information to find what the rate of change of body temperature is at midnight. )) = %3D At 4 AM. T'(4) = At noon. T'(12) = %3D At 4 PM. T'(16)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question
a. Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body
temperature, T(1), of a lizard is measured for a period of 18 hours from midnight until 6 PM. The body temperature (in *C ) of the lizard
over this period of time (in hours) is found to be well approximated by the polynomial
T(1) = -0.009r³ + 0.285r? – 1.7t + 17.5.
Find the general expression for the rate of change of body temperature per hour,
T'() =
b. Use this information to find what the rate of change of body temperature is at midnight.
)) =
%3D
At 4 AM.
T'(4) =
At noon.
T'(12) =
%3D
At 4 PM.
T'(16)
Transcribed Image Text:a. Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body temperature, T(1), of a lizard is measured for a period of 18 hours from midnight until 6 PM. The body temperature (in *C ) of the lizard over this period of time (in hours) is found to be well approximated by the polynomial T(1) = -0.009r³ + 0.285r? – 1.7t + 17.5. Find the general expression for the rate of change of body temperature per hour, T'() = b. Use this information to find what the rate of change of body temperature is at midnight. )) = %3D At 4 AM. T'(4) = At noon. T'(12) = %3D At 4 PM. T'(16)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning