Answer:

General Formulas and Concepts:
<u>Calculus</u>
Integration
Integration Rule [Reverse Power Rule]: 
Integration Rule [Fundamental Theorem of Calculus 1]: 
Integration Property [Addition/Subtraction]: ![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%7B%5Bf%28x%29%20%5Cpm%20g%28x%29%5D%7D%20%5C%2C%20dx%20%3D%20%5Cint%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Cpm%20%5Cint%20%7Bg%28x%29%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>

<u>Step 2: Integrate</u>
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:

- [Left Integral] Integration Rule [Reverse Power Rule]:

- [Right Integral] Trigonometric Integration:

- Integration Rule [Fundamental Theorem of Calculus 1]:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Step-by-step explanation:
step 1. x = .484848 . . . repeats
step 2. 100x = 48.48484848 . . . (multiply by 100)
step 3. subtract x from 100x : 99x = 48
step 4. x = 48/99 (now add the 2 back in)
step 5. answer: 2-48/99.
Answer:
There are 221 mile to be covered , with every 14 miles travelled with one gallon .
221/14 is 15.7 , which is 16
So , its option C
Answer:
The extremes are 5 and 64.
The middle terms are 80 and 4.
Step-by-step explanation:
Given the proportion:
5 : 80 :: 4 :64
To find:
The extreme and middle terms of the given proportion.
Solution:
The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.
OR
First number
Fourth number = Second number
Third number
First of all, let us check the two products.
5
64 = 320
And the second product:
80
4 = 320
The product is same therefore, the given numbers are in proportion.
The extreme terms are the first and the fourth numbers.
i.e. The extremes are 5 and 64.
The middle terms are 80 and 4.
Answer:
9c -4d
Step-by-step explanation:
6c − 8d + 3c + 4d
Combine like terms
6c + 3c − 8d +4d
9c -4d