Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x where C(x) is the cost and x is the number of units of bananas produced. If the cost is $400 to produce 1 unit, what is the particular solution? Write your answer in the form C(x)  =  C1 ln x + C2xn + C3. (a) What is the value of C1? (b) What is the value of C2? (c) What is the value of C3?

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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Suppose the cost of producing bananas is given by the differntial equation:

dC/dx = 26/x + 45x

where C(x) is the cost and x is the number of units of bananas produced. If the cost is $400 to produce 1 unit, what is the particular solution? Write your answer in the form C(x)  =  C1 ln x + C2xn + C3.

(a) What is the value of C1?
(b) What is the value of C2?
(c) What is the value of C3?

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