## Section 6.4 - 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?

__Law of Exponential Change - OPTIONAL__

- What is the law of exponential change?

__Continuously Compounded Interest - OPTIONAL__

- What is compound interest and continuously compounded interest?

__Radioactivity - OPTIONAL__

- What is radioactive decay, radioactive, and half-life?

__Modeling Growth with Other Bases - OPTIONAL__

- How does the base impact the coefficient on the power?
- What is Carbon-14 dating? (side bar)

__Newton's Law of Cooling - OPTIONAL__

- What is Newton's Law of Cooling?

**STEP 3: Reading**

__If time permits,__then

__reread__the lesson and take any extra notes as needed.