Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 
20]
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
9514 1404 393
Answer:
- maximum: 15∛5 ≈ 25.6496392002
- minimum: 0
Step-by-step explanation:
The minimum will be found at the ends of the interval, where f(t) = 0.
The maximum is found in the middle of the interval, where f'(t) = 0.
   ![f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)](https://tex.z-dn.net/?f=f%28t%29%3D%5Csqrt%5B3%5D%7Bt%7D%2820-t%29%5C%5C%5C%5Cf%27%28t%29%3D%5Cdfrac%7B20-t%7D%7B3%5Csqrt%5B3%5D%7Bt%5E2%7D%7D-%5Csqrt%5B3%5D%7Bt%7D%3D%5Csqrt%5B3%5D%7Bt%7D%5Cleft%28%5Cdfrac%7B4%285-t%29%7D%7B3t%7D%5Cright%29)
This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...
   f(5) = (∛5)(20-5) = 15∛5
The absolute maximum on the interval is 15∛5 at t=5.
 
                                
             
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Bakabaga anabahakan agajaba Avanavajakab
        
             
        
        
        
Answer:
Scale factor = 
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = 
                       = 
                       =  
 
                       = 64 : 729 
Scale factor = ![\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20small%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20large%20prism%7D%7D%7D)
                     = ![\sqrt[3]{\frac{64}{729}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B729%7D%7D)
                     = 
Perimeter ratio = Scale factor
                          = 
                          = 4 : 9
Surface area ratio = (Scale factor)²
                               = 
                               = 
                               = 16 : 81
 
        
             
        
        
        
its not 100 points it 8 but i will still help you
the answer is 7.2 i believe
 
        
             
        
        
        
The answer to your problem (or what i got) was 34u^2(34units squared)
        
             
        
        
        
The equation for finding volume of a cylinder is V=πr2h. That means if you do (3.14)(25)(17) you would get your answer- 1334.5