3 sodas cost $2.97 +.15 tax total $3.12
The smallest value for n is -3
When you move the decimal point to the right, the exponent on the 10 will be negative
move the decimal point to the right 3 times and you get 2.22 x 10^-3
2.22 is greater than two
Answer:
<h2>
3/10 ÷ 4/5 = 3/8</h2>
Step-by-step explanation:
<h2>
3/10 ÷ 4/5 = 0.375 = 3/8</h2>
That comes to 225.65 / 6.25
= 36.1 hours
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Rule [Quotient Rule]: ![\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5D%3D%5Cfrac%7Bg%28x%29f%27%28x%29-g%27%28x%29f%28x%29%7D%7Bg%5E2%28x%29%7D)
Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
MacLaurin/Taylor Polynomials
- Approximating Transcendental and Elementary functions
- MacLaurin Polynomial:

- Taylor Polynomial:

Step-by-step explanation:
*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.
<u />
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = ln(1 - x)
Center: x = 0
<em>n</em> = 3
<u>Step 2: Differentiate</u>
- [Function] 1st Derivative:

- [Function] 2nd Derivative:

- [Function] 3rd Derivative:

<u>Step 3: Evaluate Functions</u>
- Substitute in center <em>x</em> [Function]:

- Simplify:

- Substitute in center <em>x</em> [1st Derivative]:

- Simplify:

- Substitute in center <em>x</em> [2nd Derivative]:

- Simplify:

- Substitute in center <em>x</em> [3rd Derivative]:

- Simplify:

<u>Step 4: Write Taylor Polynomial</u>
- Substitute in derivative function values [MacLaurin Polynomial]:

- Simplify:

Topic: AP Calculus BC (Calculus I/II)
Unit: Taylor Polynomials and Approximations
Book: College Calculus 10e