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3 years ago

The water level in a tank can be modeled by the function h(t)=8cos(pi t /7)+11.5, where t is the number of

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height

Step-by-step explanation:

Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero

Velocity is the change in distance with respect to time.

V = {d(h(t)}/dt = -8π/7sin(πt/7)

At maximum height, -8π/7sin(πt/7) = 0

-Sin(πt/7) = 0

sin(πt/7) = 0

Taking the arcsin of both sides

arcsin(sin(πt/7)) = arcsin0

πt/7 = 0

t = 0

This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

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3 years ago

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kumpel [21]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

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The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

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The second line becomes a lot less steep

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In the second line the ratio rise/run is 1/3

see the attached figure to better understand the problem

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