Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Pls answer part d) only. Thanks, rest assured A,B,and C are correct, need urgently (* *) Suppose you have just poured a cup of freshly

image text in transcribed

Pls answer part d) only. Thanks, rest assured A,B,and C are correct, need urgently

image text in transcribed
(* *) Suppose you have just poured a cup of freshly brewed coffee with temperature 95 C in a room where the temperature is 20 C. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Therefore, the temperature of the coffee, T(t), satisfies the differential equation dT dt = k(T - Troom) where Troom = 20 is the room temperature, and k is some constant. Suppose it is known that the coffee cools at a rate of 1 C per minute when its temperature is 70 C. A. What is the limiting value of the temperature of the coffee? lim T(t) = 20 B. What is the limiting value of the rate of cooling? lim 0 t-too dt C. Find the constant & in the differential equation. k = -0.02 D. Use Euler's method with step size Ax = 2 minutes to estimate the temperature of the coffee after 10 minutes. T(10) = 20.42 this

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Precalculus A Concise Course

Authors: Ron Larson, Rosemarie Menager Beeley, Larson/Hostetler

2nd Edition

1111789185, 9781111789183

More Books

Students also viewed these Mathematics questions