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.
 
        
             
        
        
        
That is true. It is much cheaper and economically safer for farms to not grow organic foods. I’m fact, sometimes it is even better for the environment for food to not be grown organically as it puts less stress on the farmland.
        
             
        
        
        
Answer:
  or
 or  rounded to the nearest tenth
 rounded to the nearest tenth
Step-by-step explanation:
1. Find the area of the base and the top, which are circles. 
Area of circle :  = 986.960440109
 = 986.960440109
There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022
2. Find the rest of the area of the cylander. 
So, we have to find the circumference of the circle.
Circumference :2 10 = 62.83
10 = 62.83
3. Multiply circumference by height.
62.83 x 7 = 439.81
4. Add all of the products.
439.81 + 1973.92088022 =  or
 or  rounded to the nearest tenth
 rounded to the nearest tenth
 
        
             
        
        
        
60. 
Because 60x0.40 is 24