You need to show the data above
The perimeter for this case is given by:
Substituting values we have:
The area is given by:
Writing the area based on a variable we have:
We derive the area to obtain the maximum of the function:
We equal zero and clear x:
Then, the other dimension is given by:
Finally the maximum area is:
Answer:
The length and width of the plot that will maximize the area are:
The largest area that can be enclosed is:
Answer:
(-8, -4), (-2, 6), (0, 0), (2, 10), (5, 0)
Step-by-step explanation:
A critical point is a point where the slope is zero or undefined. On this graph, every marked point except (-5, 0) is a critical point.
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<em>Additional comment</em>
Critical points will be found at local extreme values, places where the tangent is vertical, and places where the slope has a discontinuity (such as (2, 10) and possibly (5, 0)).
1. d = rt You must isolate r, so divide by t and you get r = d/t
2. Average speed is the total distance divided by the total time. 400m/43.83s=9.1m/s (Round to the nearest tenth, says in question)
3. Same thing but with Garcia's measurements. 110m/13s=8.5m/s (Round to the nearest tenth, says in question)
4. Kenteris's Speed = 200m/20.09s=9.9552m/s (Do not round until final answer) Johnson's Speed = 200m/19.32s=10.3520m/s
10.3520m/s - 9.9552m/s = .4 m/s (Round to the nearest tenth, says in question) The difference in speed is found by simply subtracting. Johnson went .4 m/s faster on on average than Kenteris.