All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.

Information Report

Category:
## Documents

Published:

Views: 6 | Pages: 2

Extension: PDF | Download: 0

Share

Description

Algebra and trigonometry

Transcript

ALGEBRA & TRIGONOMETRY
To use logarithms to solve application problems involvingexponentialgrowthanddecay.A colony of humans settles on a previously uninhabited planet. After
t
years, theirpopulation,P,is givenbyequationP=100 e
0.05t
.
PROBLEM ST TEMENTOBJECTIVE
.b) Whatisthepopulationafter25 years?c) Howlongdoesittakethepopulationto reach2 million?Given P=100 e
0.05t
,
METHODOLOGY
When
t
=0, P=100 e
0.05(0)
=100Therefore, y-intercept is 100.
P
a)
SOLUTIONS
100
t So, it takes approximately 198 years toreach2 millionpopulation.a) A natural logarithmic function is a logarithmic function with base
e
, log
e
x
= ln
x
,where
x
>0.b) We can apply exponential and logarithm functions in our daily life which theyare very useful for example in this case, we are able to find the population of humansinaperiod.Mathematics is the language with which God wrote the universe. —Galileo
CONCLUSION

Recommended

4 pages

27 pages

17 pages

21 pages

634 pages

292 pages

16 pages

Related Search

We Need Your Support

Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks

SAVE OUR EARTH

We need your sign to support Project to invent "SMART AND CONTROLLABLE REFLECTIVE BALLOONS" to cover the Sun and Save Our Earth.

More details...Sign Now!

We are very appreciated for your Prompt Action!

x