amykookie24

26.09.2019 • 

Mathematics

Suppose you have 74 feet of fencing to enclose a rectangular dog pen. the function a=37x-x^2, where x = width, gives you the area of the dog pen in square feet. what width gives you the maximum area? what is the maximum area?

a). width = 37ft; area =721.5
b). width = 18.5ft; area = 342.3
c). width = 37ft; area = 342.3
d). width = 18.5ft; area =1026.8

Ответ:

nini0372

04.01.2022

Mathematics

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To solve for the maximum area, the first derivative should be solved and equate it to zero, then solve for x.
A = 37x - x^2
dA / dx = 37 - 2x
equate dA / dx = 0
0 = 37 - 2x
2x = 37
x = 37 / 2
x = 18.5 ft

so the maximum area is 
A = 37x - x^2
A = 37( 18.5) - 18.5^2
A = 342.25 sq ft
so the answer is letter B

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Ответ:

gagem1278

06.01.2023

Mathematics

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The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

Step-by-step explanation:

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