What is the equation of a line that passes through (-6, 2) and has a slope of -1/2 ?
2 answers:
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For this case we have the following system of equations:
We multiply the first equation by -2:
We add the equations:
Adding we have:
We look for the value of "y":
So, the solution is
Answer:
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.