Suppose a metal block is cooling so that its temperature T (in °C) is given by T=200•4 ^(−0.2t) +26,where t is in hours. a. Find the temperature after (I) 2 hours, (ii) 3.5 hours. b. How long has the cooling been taking place if the block now has a temperature of 126°C? c. Find the eventual temperature (t→∞).

Suppose a metal block is cooling so that its temperature T (in °C) is given by T=200•4 ^(−0.2t) +26,where t is in hours. a. Find the temperature after (I) 2 hours, (ii) 3.5 hours. b. How long has the cooling been taking place if the block now has a temperature of 126°C? c. Find the eventual temperature (t→∞).

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 38CT

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