Answer:

Domain: All Real Numbers
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Derivative: ![\frac{d}{dx} [ln(u)] = \frac{u'}{u}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bln%28u%29%5D%20%3D%20%5Cfrac%7Bu%27%7D%7Bu%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = ln(2x² + 1)
<u>Step 2: Differentiate</u>
- Derivative ln(u) [Chain Rule/Basic Power]:

- Simplify:

- Multiply:

<u>Step 3: Domain</u>
We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.
Therefore, our domain would be all real numbers.
We can also graph the differential function to analyze the domain.
<span>m∠3 = 180 -(x + x - 6 )
= 180 - 2x + 6
= 186 - 2x</span>
Answer:
$235.2
Step-by-step explanation:
Given data
Principal= $5,600
Rate= 4.2%
Time= 1 year
The expression for the simple interest is given as
SI= PRT/100
substitute
SI= 5600*4.2*1/100
SI= 23520/100
SI=$235.2
Hence after 1 year he will pay $235.2
Answer:
Part 1: m = ( 2•3 ) + 3
Part 2: 9 miles
Step-by-step explanation:
Add all the miles together
2+2+2= 6+ 3 =9
Answer:
238
Step-by-step explanation:
28÷4=7
7x6=42
7x3=21
7x4=28
7x7=49
7x3=21
7x3=21
7x4=28
(28x3)+(21x3)+49+42
84+(21x3)+49+42
84+63+49+42
147+49+42
147+91
238