Estimate [5 7/8 - 2 3/20] + 1 4/7
1 answer:
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Answer:
The minimum surface area of the container is 276.791 square units.
Step-by-step explanation:
Let be ,
,
. The first and second derivatives of such function are, respectively:
First derivative
Second derivative
The critical values of are determined by equalizing first derivative to zero and solving it: (First Derivative Test)
(since radius is a positive variable)
To determine if critical value leads to an absolute minimum, this input must be checked in the second derivative expression: ()
The critical value leads to an absolute minimum, since value of the second derivative is positive.
Finally, the minimum surface area of the container is:
The minimum surface area of the container is 276.791 square units.
Answer: 15 m
Step-by-step explanation:
Given
The area of the swimming pool is
Width of the pool is
Suppose l is the length of the pool
So, the area is given by the multiplication of length and width
So, the length of the pool is 15 m.