Answer:
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General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:

Special Limit Rule [L’Hopital’s Rule]:

Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%20%2B%20g%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D)
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
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)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given limit</em>.

<u>Step 2: Find Limit</u>
Let's start out by <em>directly</em> evaluating the limit:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:
- [Limit] Apply Limit Rule [L' Hopital's Rule]:

- [Limit] Differentiate [Derivative Rules and Properties]:

- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

∴ we have <em>evaluated</em> the given limit.
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Learn more about limits: brainly.com/question/27807253
Learn more about Calculus: brainly.com/question/27805589
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Hi there.
3 feet = 1 yard;
2 yards = 6 ft; therefore, 2 yards is greater than 5 ft.
I hope this helps!
Just subtract 45 - 28 = 17 lollipops
Hope this helps!!!
Answer:
p = 8/25
Step-by-step explanation:
500 - 340 = 160 girls
p = 160/500
p = 8/25
Answer:
Step-by-step explanation:
This is what i get what i understand from your question .
Kurt earns $7 per hour for doing chores. his goal is to make at least $35 each week
So ,
$7 =per hr
X= unknown hrs
$35= goal
7 x =35
Divide both sides by 7 to get x alone representing hrs.
X= 35/7
X= 5
So 5 hrs per week to make 35 a week.
5×7=35
35=35