question 9 (1 point) the behaviour tides in a fishing community can be modelled using the function h = 3 sin…

question 9 (1 point) the behaviour tides in a fishing community can be modelled using the function h = 3 sin 30(t - 4), where h represents the height of the tide, in metres, at t hours after noon. what are the maximum and minimum heights of the tides? maximum 8m, minimum 2m maximum 5m, minimum 2m maximum 5m, minimum 3m maximum 8m, minimum 3m question 10 (1 point)

question 9 (1 point) the behaviour tides in a fishing community can be modelled using the function h = 3 sin 30(t - 4), where h represents the height of the tide, in metres, at t hours after noon. what are the maximum and minimum heights of the tides? maximum 8m, minimum 2m maximum 5m, minimum 2m maximum 5m, minimum 3m maximum 8m, minimum 3m question 10 (1 point)

Answer

Explanation:

Step1: Recall sine - function range

The range of the sine function $y = \sin(x)$ is $[- 1,1]$.

Step2: Analyze the given function

We have the function $h = 3\sin(30(t - 4))$. When $\sin(30(t - 4))=1$, we find the maximum value of $h$. Substitute $\sin(30(t - 4)) = 1$ into the function: $h_{max}=3\times1 = 3$. When $\sin(30(t - 4))=-1$, we find the minimum value of $h$. Substitute $\sin(30(t - 4))=-1$ into the function: $h_{min}=3\times(-1)=- 3$. But there seems to be a mistake in the problem - if the function is $h = 3\sin(30(t - 4))+5$ (assuming a vertical shift is missing as the given options suggest a non - standard sine - based function range). When $\sin(30(t - 4)) = 1$, $h=3\times1 + 5=8$. When $\sin(30(t - 4))=-1$, $h=3\times(-1)+5 = 2$.

Answer:

maximum 8m, minimum 2m