lecture29 - Lecture 29 1 Lecture 29(Sec 5.6 Exponential...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 29 1 Lecture 29: (Sec. 5.6) Exponential Functions as Mathematical Mod- els Exponential Growth Recall the graphs of the function y = b x , b > 1 and y = e x : Now consider the function Q ( t ) = Q 0 e kt , where Q 0 and k are positive constants:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lecture 29 2 Def. Let Q ( t ) > 0 be a quantity whose rate of growth at any time t is directly proportional to the amount of the quantity present at time t . Then and we model this growth by the equation The quantity is said to exhibit and k is
Background image of page 2
Lecture 29 3 ex. Suppose $1500 is invested in an account in which interest is compounded continuously at 6% annual interest. Find a formula for the rate of change of the amount at any time t .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lecture 29 4 ex. A colony of viruses is growing exponentially (that is, the rate of growth is proportional to the number of viruses at any time t ). There were 500 viruses at 10AM and 20,000 at 3PM. a) Find a model for this growth.
Background image of page 4
5 b) How many will be in the colony at 6PM (approx- imately)? c) How many will there be at 8PM (exactly)?
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/18/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.

Page1 / 16

lecture29 - Lecture 29 1 Lecture 29(Sec 5.6 Exponential...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online