use the drawing tools to form the correct answer on the graph.\nevery day the ocean has two low tides and…

use the drawing tools to form the correct answer on the graph.\nevery day the ocean has two low tides and two high tides. function g represents the height, in feet, of the water level in a cove relative to the average sea level. let t represent the number of hours elapsed since the water height was equal to the average sea level after a low tide.\ng(t)=4\\sin(\\frac{\\pi}{6}t)\nplot the points where g(t) is equal to the average sea level.

use the drawing tools to form the correct answer on the graph.\nevery day the ocean has two low tides and two high tides. function g represents the height, in feet, of the water level in a cove relative to the average sea level. let t represent the number of hours elapsed since the water height was equal to the average sea level after a low tide.\ng(t)=4\\sin(\\frac{\\pi}{6}t)\nplot the points where g(t) is equal to the average sea level.

Answer

Explanation:

Step 1: Set (g(t) = 0)

We want to find (t) when (g(t)=4\sin\left(\frac{\pi}{6}t\right)=0). Using the property that (\sin(x) = 0) when (x = k\pi), (k\in\mathbb{Z}). So, (\frac{\pi}{6}t=k\pi).

Step 2: Solve for (t)

Divide both sides of (\frac{\pi}{6}t = k\pi) by (\pi): (\frac{1}{6}t=k). Then multiply both sides by (6) to get (t = 6k). When (k = 0), (t=0); when (k = 1), (t = 6); when (k = 2), (t=12); when (k = 3), (t = 18) (but since the domain of (t) (hours in a day - assuming a (24 -) hour period for tides, and the graph likely shows up to (t = 18) relevant points for the cycle)

Answer:

The points are ((0,0)), ((6,0)), ((12,0))