Suppose the snowball in Problem 21 melts so that the rate of change in its diameter is proportional to its surface area. Using the same given data, determine when its diameter will be 2 in. Mathematically speaking, when will the snowball disappear?
In this question using the data of question 21 of the textbook we have to determine when the
diameter of snowball be 2m and when will the snowball will finally disappear.
Let D be the diameter of snowball
Surface area =
also it is given that
Change in diameter ∝ Surface area
-ve sign indicates that snowball is melting.
Step 2 </p>
Integrating both sides with limit
Textbook: Fundamentals of Differential Equations
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
The full step-by-step solution to problem: 22E from chapter: 3.2 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The answer to “Suppose the snowball in melts so that the rate of change in its diameter is proportional to its surface area. Using the same given data, determine when its diameter will be 2 in. Mathematically speaking, when will the snowball disappear?” is broken down into a number of easy to follow steps, and 40 words. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Since the solution to 22E from 3.2 chapter was answered, more than 254 students have viewed the full step-by-step answer. This full solution covers the following key subjects: its, snowball, diameter, mathematically, area. This expansive textbook survival guide covers 67 chapters, and 2118 solutions.