## Section 7.4 - Exponential Growth and Decay

**Essential Question(s):**

What are separable differential equations and how are they applied?

**Follow**__these three steps__to complete the notes for the lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Answer__the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to

__write enough to answer the question__.

__Separable Differential Equations__

- What are separable differential equations? (pg 358)
- How do you solve a separable differential equation? (Ex 1 pg 358)

__Law of Exponential Change - OPTIONAL__

- What is the law of exponential change? (pg 359)

__Continuously Compounded Interest - OPTIONAL__

- What is compound interest and continuously compounded interest? (pg 359-360)
- How do you calculate continuously compounded interest? (Ex 2 pg 360)

__Radioactivity - OPTIONAL__

- What is radioactive decay, radioactive, and half-life? (pg 360-361)
- How do you find half-life? (ex 3 pg 361-360)

__Modeling Growth with Other Bases - OPTIONAL__

- How does the different base determine the powers coefficient? (pg 362-363)
- How do you choose a base? (Ex 4 pg 362)
- How can you use carbon-14 dating? (Ex 5 pg 362)

__Newton's Law of Cooling - OPTIONAL__

- What is Newton's Law of Cooling? (pg 362-363)
- How do you use Newton's Law of Cooling? (Ex 6 pg 363)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 358 - 363.
- Make sure to read the paragraphs between the examples and sidebar snippets.