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)

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

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 65E

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