Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st
1 answer:
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Answer:
x=1 is the minima
No point of inflection
y axis is asymptote
Step-by-step explanation:
A function is given by
Let us use derivatives to find extrema point of intersection etc
We find that second derivative cannot be equal to 0 for any value of x.
Hence there are no points of inflection.
Equate I derivative to 0
x =1
At x=1 I derivative is 0 and II derivative positive. So minima at x=1 and y =1
ln x is not defined for 0 or negative values of x
Hence asymptote is x=0 or y axis
Domain is (0,infty)
Range is (1,infty)
Since I derivative is negative for x <1 and positive for x>1
decreasing in (0,1) and increasing in (1,infty)
Hello there!
Remember the Negative Exponent Law. If we have a number with a negative exponent, we flop it over.
So our answer looks like so:
Hope this helps you!
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