Your company has developed a new product, and your marketing department has predicted how it will sell. Let y(t) be the (monthly) sales of the product after t months. (a) Write a differential equation that says that the rate of growth the sales will be eight times the one-half power of the sales. y' = (b) Write an initial condition that says that at timet = 0 sales were $10,000. y(0) = (c) Solve this differential equation and initial value. y = (d) Use your solution to predict the sales (in dollars) at time t = 12 months. (Round your answer to the nearest whole number.)
Your company has developed a new product, and your marketing department has predicted how it will sell. Let y(t) be the (monthly) sales of the product after t months. (a) Write a differential equation that says that the rate of growth the sales will be eight times the one-half power of the sales. y' = (b) Write an initial condition that says that at timet = 0 sales were $10,000. y(0) = (c) Solve this differential equation and initial value. y = (d) Use your solution to predict the sales (in dollars) at time t = 12 months. (Round your answer to the nearest whole number.)
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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