Explain how using equivalent ratios is like adding fractions with unlike denominators
1 answer:
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Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:
And the perimeter is
We know the perimeter is 182, thus
Simplifying
Solving for y
The area is
Taking the derivative:
Equating to 0
Solving
Finding y
The largest rectangle of perimeter 182 is a square of side 45.5
9514 1404 393
Explanation:
a) see the attachment for a graph (red curve)
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b) The piecewise defined function can be ...
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c) The new cost function is ...
The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.
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<em>Additional comment</em>
Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.
