4. A pizza is brought from the oven at 400 degrees into an 80-degree room. If y(t) is its temperature t minutes after being brought out, then y'= k(80 – y) for some positive constant k. (a) Find the solution, in terms of k, of this initial value problem (y(0) = 400). (b) Suppose that its temperature after 3 minutes is 300 degrees. Use this information to find the decimal value of k, and write the explicit formula for y(t). (c) When will the pizza be at 200 degrees?
4. A pizza is brought from the oven at 400 degrees into an 80-degree room. If y(t) is its temperature t minutes after being brought out, then y'= k(80 – y) for some positive constant k. (a) Find the solution, in terms of k, of this initial value problem (y(0) = 400). (b) Suppose that its temperature after 3 minutes is 300 degrees. Use this information to find the decimal value of k, and write the explicit formula for y(t). (c) When will the pizza be at 200 degrees?
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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