The function F(y) = 149.76squareroot10y5/2 estimates the force F(in tons) of wat

Question

The function F(y) = 149.76squareroot10y5/2 estimates the force F(in tons) of water against the face of a dam, where y is the depth of the water (in feet). Complete the table. (Round your answers to the nearest whole number.) What can you conclude from the table? The force, in tons, of the water against the dam increases with the depth of the water and hits a maximum point. The force, in tons, of the water against the dam increases with the depth of the water and hits a maximum point before decreasing. The force, in tons, of the water against the dam increases with the depth of the water. No conclusion can be made. Use the table to approximate the depth (to the nearest whole number) at which the force against the dam is 4,000,000 tons. ft Find the depth at which the force against the dam is 4,000,000 tons algebraically. ft

Explanation / Answer

b)
Well, its gotta be less than 40 surely...

We can guess at about 37 ft ---> ANSWER

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c)
Using formula :
F(y) = 149.76 * sqrt10 * y^(5/2)

4000000 = 149.76 * sqrt(10) * y^(5/2)

y^(5/2) = 4000000/(149.76sqrt(10))

y^(5/2) = 8446.2544342104148825

y = 8446.2544342104148825^(2/5)

y = 37.21 ---> ANS

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