A body was found in a room when the room's temperature was 75°F. Let f(t) denote the temperature of the body, t hours from the time of death. According to Newton's law of cooling, f satisfies a differential equation of the form y' = k(T - y). Answer parts (a) - (d) below.(a) Find T.T= 75 ° F(b) After several measurements of the body's temperature, it was determined that when the temperature of the body was 78 degrees, it was decreasing at a rate of 5 degrees per hour. Find k.k =(Round to three decimal places as needed.)(1,1)More

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Answered: A body was found in a room when the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Researchers have found a correlation between respiratory rate and body mass in the first three years of life. This correlation can be expressed by the function log R(w) = 1.85-0.48 log (w), where w is the body weight (in kilograms) and R(w) is the respiratory rate (in breaths per minute). a. Find R'(w) using implicit differentiation. b. Find R'(w) by first solving the equation for R(w). c. Discuss the two procedures. Is there a situation when you would want to use lone method over another? a. R'(w) =[| (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

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