A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take n
o longer than 3 mins. Which graph represent the overall equation represented by this scenario
1 answer:
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Answer:
Step-by-step explanation:
Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =