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Phoenix [80]
3 years ago
11

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the

spout in feet. Complete the square to determine the maximum height of the path of the water.
Mathematics
1 answer:
Softa [21]3 years ago
8 0

Step-by-step explanation:

f(x) = -4x^2+24x-29

= -4(x^2-6x)-29

= -4(x-3)^2 -4(-9) -29

= -4(x-3)^2 +36-29

= -4(x-3)^2 +7

maximum height = 7m

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Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

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Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

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To calculate the speed of the athlete we must perform the following operations.

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According to the above, the average speed of the athlete is 300m/min.

Learn more about speed in: brainly.com/question/7359669

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