In Exercise 14 in Section 9.1 we considered a 85°C cup of coffee in a 20°C room. Suppose it is known that the coffee coo

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In Exercise 14 In Section 9 1 We Considered A 85 C Cup Of Coffee In A 20 C Room Suppose It Is Known That The Coffee Coo 1 (357.2 KiB) Viewed 21 times

In Exercise 14 in Section 9.1 we considered a 85°C cup of coffee in a 20°C room. Suppose it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. (a) What does the differential equation become in this case? dy = * | -k(+-20) dt (b) Sketch a direction field and use it to sketch the solution curve for the initial-value problem. у у 100) 100Y IIII 807 80IIIIIIIIIIIIIIIII 1 60 604 40 40% 20/ 20- 04 0 50 100 150 200 0 50 100 150 200 O у 100 у 100 11 1 80- 801 60+ 60 40+ 404 2011 20+ 01 0 50 100 150 200 0 50 100 150 200 What is the limiting value of the temperature? 73 хос (c) Use Euler's method with step size h = 2 minutes to estimate the temperature of the coffee after 10 minutes, y(10). (Round your answer to two decimal places.) Y(10) = 73 ✓ °C Need Help? Read It