Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current  V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current  V₁ - V₂ = 60/5 = 12 km/h
 V₁ - V₂ = 12 
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32  =>    V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
 
        
             
        
        
        
Answer:

General Formulas and Concepts:
<u>Algebra I</u>
<u>Calculus</u>
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]:                                                                
Trig Integration:                                                                                                            
Step-by-step explanation:
<u>Step 1: Define</u>
<u /> <u />
<u />
<u />
<u>Step 2: Integrate Pt. 1</u>
- [Integral] Factor fraction denominator:                                                          
- [Integral] Integration Property - Multiplied Constant:                                    
<u>Step 3: Identify Variables</u>
<em>Set up u-substitution for the arctan trig integration.</em>

<u>Step 4: Integrate Pt. 2</u>
- [Integral] Substitute u-du:                                                                                
- [Integral] Trig Integration:                                                                               ![\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B9%7D%5B%5Cfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B3%7D%7Darctan%28%5Cfrac%7Bu%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%29%5D%20%2B%20C) 
- [Integral] Simplify:                                                                                           ![\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B9%7D%5B%5Cfrac%7B3%7D%7B2%7Darctan%28%5Cfrac%7B3u%7D%7B2%7D%29%5D%20%2B%20C) 
- [integral] Multiply:                                                                                            
- [Integral] Back-Substitute:                                                                              
Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
 
        
             
        
        
        
20/35 and 21/35. The common denominator is 35.
        
             
        
        
        
Answer:
f(-2) = 44
Step-by-step explanation:
Hello there! Lets get started solving this function!
For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.
Hope this helps! Remember, math is fun!
 
        
             
        
        
        
Answer:

Step-by-step explanation:
