Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body temperature, T(t), 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(t) = -0.009r + 0.285r² – 1.7t + 17.5. Find the general expression for the rate of change of body temperature per hour, . 出, T'(1) = b. Use this information to find what the rate of change of body temperature is at midnight. T'(0) = At 4 AM. T'(4) = At noon. T'(12) = At 4 PM. T'(16) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body
temperature, T(t), 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(t) = -0.009r + 0.285r² – 1.7t + 17.5.
Find the general expression for the rate of change of body temperature per hour, .
出,
T'(1) =
b. Use this information to find what the rate of change of body temperature is at midnight.
T'(0) =
At 4 AM.
T'(4) =
At noon.
T'(12) =
At 4 PM.
T'(16) =
Transcribed Image Text:Lizards are cold-blooded animals whose temperatures roughly match the surrounding environment. Suppose the body temperature, T(t), 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(t) = -0.009r + 0.285r² – 1.7t + 17.5. Find the general expression for the rate of change of body temperature per hour, . 出, T'(1) = b. Use this information to find what the rate of change of body temperature is at midnight. T'(0) = At 4 AM. T'(4) = At noon. T'(12) = At 4 PM. T'(16) =
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