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saveliy_v [14]
3 years ago
15

the function graphed shows kyoko's typing speed in words per minute (wpm) x weeks after she began typing course. How many words

per minute (wpm) could kyoko type when she began the course? 100 POINTS
Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Answer:

where is the graph once you upload it i will edit my answer

Step-by-step explanation:

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Apel Sinoman has 100 ft of fencing material to enclose a rectangular exercise run for her dog. One side of the run will border h
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Answer:

For maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.

Step-by-step explanation:

Let the length of the rectangular exercise run = l ft

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Sinoman has to cover a rectangular exercise run from three sides with the fencing material,

So length of the material = (l + 2w) ft

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l = 100 - 2w --------(1)

Area of the rectangular area covered = Length × width

A = lw

A = w(100 - 2w)    [(l = 100 - 2w)from equation (1)

For maximum area we find the derivative of area and equate it to zero.

\frac{dA}{dw}=\frac{d}{dw}[w(100-2w)]

A'=\frac{d}{dw}(100w-2w^{2} )

A' = 100 - 4w

For A' = 0

100 - 4w = 0

4w = 100

w = 25 ft

From equation (1)

l = 100 - 2w

l = 100 - 2×(25)

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Therefore, for maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.

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Answer:

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