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frez [133]
3 years ago
9

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]
Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

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)

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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The rate of return is 17.44%.</span>
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3 years ago
Put these numbers in order from least to greatest <br><br> 12%, -1/2, 0, -0.22, 0.56
weqwewe [10]

Answer:

-1/2, -0.22, 0, 12%, 0.56

its -.22,-1/2,.56,0,12%

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nadya68 [22]
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Plug in 0 for y to find the x-intercept
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5 0
3 years ago
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Find the distance between the points with coordinates (-8.6,2.9) and (8.6,2.9)
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The answer i got was D-17.2 units. i used the distance formula to solve this problem
3 0
3 years ago
a garden is made up of two squares and a quarter circle. what are the perimeter and area of the garden
FrozenT [24]
The complete question in the attached figure

Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]

[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft

[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft

the answer Part A) is
the perimeter of the garden is 37.85 ft

Part B) Find the area of the garden

[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]

[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²

[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²

the answer Part B) is
the Area of the garden is 69.625 ft²


8 0
3 years ago
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