The size of a hole in a bursting balloon is modelled by the equationr = 54(4/3)where r is the mean radius of the hole in millimeters and in the number ofmicroseconds since the balloon was initially punctured.After how many microseconds will the hole in the balloon have a radius of 128mm?You may use the symbol for powers, or the superscript option x in the textformatting menu.

Answered: Image /qna-images/answer/7bbecd82-d018-4f90-9c9a-4fc3f660529b.jpg

Answered: The size of a hole in a bursting…

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...

See similar textbooks

Related questions

Question

The size of a hole in a bursting balloon is modelled by the equation
r = 54(4/3)
where r is the mean radius of the hole in millimeters and in the number of
microseconds since the balloon was initially punctured.
After how many microseconds will the hole in the balloon have a radius of 128mm?
You may use the symbol for powers, or the superscript option x in the text
formatting menu.

Expert Solution

Step 1: given

$r space equals space 54 cross times open parentheses 4 over 3 close parentheses to the power of n w h e r e comma r space equals space t h e space m e a n space r a d i u s space o f space t h e space h o l e space i n space open parentheses m m close parentheses n equals space n u m b e r space o f space m i c r o s e c o n d s space sin c e space b a l l o o n space w a s space i n i t i a l l y space p u n c t u r e d space.$