Download presentation

Published byGilbert Ralls Modified over 3 years ago

1
Ch 6.4 Exponential Growth & Decay Calculus Graphical, Numerical, Algebraic by Finney Demana, Waits, Kennedy

5
**Solving by Separation of Variables**

7
**Law of Exponential Change**

The differential equation that describes growth is , where k is the growth constant (if positive) or decay constant (if negative). We can solve this equation by separating the variables.

8
v

9
**Continuously Compounded Interest**

If A0 dollars are invested at a fixed annual rate r (as a decimal) and compounded k times a year, the amount of money present after t years is: If the interest is compounded continuously (or every instant) then the amount of money present after t years is:

12
Finding Half Life

14
Modeling Growth At the beginning of summer, the population of a hive of hornets is growing at a rate proportional to the population. From a population of 10 on May 1, the number of hornets grows to 50 in thirty days. If the growth continues to follow the same model, how many days after May 1 will the population reach 100?

15
Modeling Growth At the beginning of summer, the population of a hive of hornets is growing at a rate proportional to the population. From a population of 10 on May 1, the number of hornets grows to 50 in thirty days. If the growth continues to follow the same model, how many days after May 1 will the population reach 100?

16
Using Carbon-14 Dating Scientists who use carbon-14 dating use 5700 years for its half-life. Find the age of a sample in which 10% of the radioactive nuclei originally present have decayed.

17
Using Carbon-14 Dating Scientists who use carbon-14 dating use 5700 years for its half-life. Find the age of a sample in which 10% of the radioactive nuclei originally present have decayed.

18
**Newton’s Law of Cooling**

19
**Newton’s Law of Cooling**

22
**Using Newton’s Law of Cooling**

A hard boiled egg at 98ºC is put in a pan under running 18ºC water to cool. After 5 minutes, the egg’s temperature is found to be 38ºC. How much longer will it take the egg to reach 20ºC?

23
**Using Newton’s Law of Cooling**

A hard boiled egg at 98ºC is put in a pan under running 18ºC water to cool. After 5 minutes, the egg’s temperature is found to be 38ºC. How much longer will it take the egg to reach 20ºC?

Similar presentations

OK

Any population of living creatures increases at a rate that is proportional to the number present (at least for a while). Other things that increase or.

Any population of living creatures increases at a rate that is proportional to the number present (at least for a while). Other things that increase or.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on percentage for class 5 Ppt on bloodstain pattern analysis Ppt on bank lending practices Ppt on history of human evolution Ppt on save tigers in india download music Ppt on data collection methods for teachers Module architecture view ppt on android Ppt on programmable logic array design Ppt on fire extinguisher types colors Ppt on 9-11 conspiracy theories attacks videos