AP Calculus AB Day 4 Section 6.2 9/14/2018 Perkins.

Slides:

Advertisements

Similar presentations

8-6 Compound Interest and Exponential Growth

Advertisements

SECTION Growth and Decay. Growth and Decay Model 1) Find the equation for y given.

Exponential Growth & Decay Objective: Be able to graph and find equations of exponential equations. TS: Explicitly assess information and draw conclusions.

CHAPTER 1: PREREQUISITES FOR CALCULUS SECTION 1.3: EXPONENTIAL FUNCTIONS AP CALCULUS AB.

AP Calculus Ms. Battaglia. Solve the differential equation.

CHAPTER 5 SECTION 5.6 DIFFERENTIAL EQUATIONS: GROWTH AND DECAY

Section 4.2 Logarithms and Exponential Models. The half-life of a substance is the amount of time it takes for a decreasing exponential function to decay.

$100 $200 $300 $400 $500 $200 $300 $400 $500 Exponents Scientific Notation Exponential Growth and Decay Properties of exponents Geometry Sequences.

Growth and Decay: Integral Exponents

12/18/2015 Perkins Honors Precalculus Day 7 Section 4.7.

Various Forms of Exponential Functions

Calculus Sections 5.1 Apply exponential functions An exponential function takes the form y = a∙b x where b is the base and b>0 and b≠1. Identify as exponential.

Exponential Functions You start a new job at age 22. If you invest $125 in a retirement plan each month, your company will invest another $125. The investment.

3.5 Exponential and Logarithmic Models n compoundings per yearContinuous Compounding.

Exponential Functions Chapter5Section1. Exponential Functions Depending on the form of the base, b an exponential function can model growth (b>1) or decay.

Table of Contents 5. Section 5.8 Exponential Growth and Decay.

5.3 Application of Exponential Functions. Continuously Compounded Interest: A = Pe rt A = account balance r = interest rate (as a decimal) t = time in.

Bellwork Solve. 1) Find the final amount of a $800 investment after 5 years at 3.7% interest compounded monthly. Tell whether each function represents.

Table of Contents 1. Section 5.8 Exponential Growth and Decay.

9-6 EXPONENTIAL GROWTH AND DECAY PG. 38 (NOTEBOOK) Y = amount remaining after Growth or decay A = Initial amount of material t = time the material has.

Section 6.6: Growth and Decay Model Theorem 6.33: If y is a differentiable function of t such that y > 0 and, for some constant c, then where y 0 is the.

Differential Equations

Exponential Functions

1.3 Exponential Functions Day 2

Pass up your homework and clear your desk for the QUIZ

Exponential Functions

Exponential Growth & Decay, Half-life, Compound Interest

1.3 Exponential Functions Day 1

Interpreting Exponential Functions

Section 8.8 – Exponential growth and Decay

Lesson 1.3: Exponential Functions

6.4 Exponential Growth and Decay, p. 350

Exponential Growth and Decay and Compound Interest

What do all of these have to do with Calculus?!?!?

Differential Equations Growth and Decay

7.4 Exponential Growth and Decay

Exponential Growth Relationship where the initial (starting) amount increases by the same percent over a given period of time.

Exponential Growth and Decay

Check it out! Creating and Graphing Exponential Equations

Exponential Growth and Decay; Logistic Models

Exponential Growth & Decay

Radioactivity, Half-life, and Nuclear Reactions

Warm Up 100 grams of a compound with a half-life of 5000 years

5.6 Applications and Models: Growth and Decay; and Compound Interest

7.5b - Applications of Logarithms

7.6 - Laws of Growth and Decay

Exponential Growth and Decay Word Problems

Interpret Graphs 1 2 A half-life (t ) is the time required for one-half of the nuclei in a radioisotope sample to decay to products. Copyright © Pearson.

Exponential Growth and Decay; Logistic Growth and Decay

Algebra Exponentials Jeopardy

Exponential Functions

Section 4.8: Exponential Growth & Decay

Exponential Functions

Exponential and Logarithmic Models

Section 4.8: Exponential Growth & Decay

Further Applications and Modeling with

Exponential Growth & Decay

8.1& 8.2 Exponential Growth and Decay Functions

5.4 Applications of Exponential Functions

Section 10.4 Exponential Growth and Decay

Exponential Growth & Decay

AP Calculus AB Day 3 Section 7.2 5/7/2019 Perkins.

Calculus, ET First Edition

4.3 Use Functions Involving e

Exponential Growth and Decay

5.2 Growth and Decay Law of Exponential Growth and Decay

Section 3.1 Day 2 Extrema on an Interval Class Quiz

Jeopardy Choose a category. Click to begin..

Exponential Growth and Decay

Presentation transcript:

AP Calculus AB Day 4 Section 6.2 9/14/2018 Perkins

Exponential Growth and Decay Function rate of growth or decay final amount initial amount Half-life Doubling-time

1. Radium has a half-life of 1620 years. If 1. 5 grams is 1. Radium has a half-life of 1620 years. If 1.5 grams is present after 1000 years and Radium follows the law of exponential growth and decay, how much is left after 10,000 years?

2. An initial investment of $10,000 takes 5 years to double 2. An initial investment of $10,000 takes 5 years to double. If interest is compounded continuously… a. What is the initial interest rate? b. How much will be present after 12 years?

AP Calculus AB Day 4 Section 6.2 Perkins

Exponential Growth and Decay Function Half-life Doubling-time

1. Radium has a half-life of 1620 years. If 1. 5 grams is 1. Radium has a half-life of 1620 years. If 1.5 grams is present after 1000 years and Radium follows the law of exponential growth and decay, how much is left after 10,000 years?

2. An initial investment of $10,000 takes 5 years to double 2. An initial investment of $10,000 takes 5 years to double. If interest is compounded continuously… a. What is the initial interest rate? b. How much will be present after 12 years?