If the pattern continues, I believe it would be 2x.
        
                    
             
        
        
        
Answer:

General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Rewrite]:  
<u>Calculus</u>
[Area] Limits of Riemann's Sums - Integrals
Integration Rule [Reverse Power Rule]:                                                                     
Integration Rule [Fundamental Theorem of Calculus 1]:                                          
Step-by-step explanation:
<u>Step 1: Define</u>
<u />![\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%5E4%7D%20%5C%5C%20%5C%20%5B1%2C%202%5D) <u />
<u />
<u />
<u>Step 2: Find Area</u>
- [Integral] Set up area:                                                                                     
- [Integral] Rewrite:                                                                                             
- [Integral] Reverse Power Rule:                                                                       
- [Area] Fundamental Theorem of Calculus:                                                    
Topic: Calculus
Unit: Basic Integration/Riemann Sums
Book: College Calculus 10e
 
        
             
        
        
        
Circumference of a circle is C = 2πr.
part 1)
so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.
what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

part 2)
since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.
now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?
 
 
        
        
        
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation: