Solution curve 1 point
Scoring notes:
- The solution curve must pass through the point (0,4), extend to at least t=4.5, and have no
obvious conflicts with the given slope lines.
- Only portions of the solution curve within the given slope field are considered.
Total for part (a)
1 point
(b) For 0<t<5, it can be shown that H(t)>1. Find the value of t, for 0<t<5, at which H has a
critical point. Determine whether the critical point corresponds to a relative minimum, a relative
maximum, or neither a relative minimum nor a relative maximum of the depth of seawater at the
location. Justify your answer.