The water at a local beach has an average depth of one meter atlow tide and an average depth at high tide of 8m. One cycle of thetides takes approximately 12 hours. This periodic motion can bemodelled by the function

where d(t) represents the depth of the water, in metres, at atime t, in hours. This equation assumes that the water level is athigh tide at time zero. Many people dive into the water from anearby dock. If the water must be at least 3m deep to dive safely,when during the daylight hours would it be safe to dive off thedock?