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Limits at Infinity, Rates of change, Derivatives The function F(t) = 65 + 33.6e-0.04 describes the liver temperature of a body at a crime scene. Time, t, is measured in hours and temperature, F, in degrees Fahrenheit. (a) Find the average rate of change in temperature between t =0 and t = 5 and write the equation for the secant line, labeled Fec(t), that connects these two points. %3D (b) Find the derivative F'(t) of the original function F(t) = 65+33.6e-0.04t and the instan- %3D taneous rate of change at t = 1.

Limits at Infinity, Rates of change, Derivatives The function F(t) = 65 + 33.6e-0.04 describes the liver temperature of a body at a crime scene. Time, t, is measured in hours and temperature, F, in degrees Fahrenheit. (a) Find the average rate of change in temperature between t =0 and t = 5 and write the equation for the secant line, labeled Fec(t), that connects these two points. %3D (b) Find the derivative F'(t) of the original function F(t) = 65+33.6e-0.04t and the instan- %3D taneous rate of change at t = 1.

Calculus: Early Transcendentals
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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Limits at Infinity, Rates of change, Derivatives The function F(t) = 65 + 33.6e-0.04 describes the liver temperature of a body at a crime scene. Time, t, is measured in hours and temperature, F, in degrees Fahrenheit. (a) Find the average rate of change in temperature between t =0 and t = 5 and write the equation for the secant line, labeled Fec(t), that connects these two points. %3D (b) Find the derivative F'(t) of the original function F(t) = 65+33.6e-0.04t and the instan- %3D taneous rate of change at t = 1.
Transcribed Image Text:Limits at Infinity, Rates of change, Derivatives The function F(t) = 65 + 33.6e-0.04 describes the liver temperature of a body at a crime scene. Time, t, is measured in hours and temperature, F, in degrees Fahrenheit. (a) Find the average rate of change in temperature between t =0 and t = 5 and write the equation for the secant line, labeled Fec(t), that connects these two points. %3D (b) Find the derivative F'(t) of the original function F(t) = 65+33.6e-0.04t and the instan- %3D taneous rate of change at t = 1.
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