Some Homework Answers: Section 3.5 Exercise 1: Exercise 4: db/dt = Section 4.1 Activity 4.1: a) D is about 3.75 miles b) D is about 3.875 miles c) By some educated guessing and checking: d) s(2) = s(0) = 4, this represents the EXACT distance traveled. Activity 4.3: a) b) c) d) Total distance traveled 2, total change in position 0. The object is increasing for t in the intervals [0 , 1] and [4 , 8]. 5 meters the graph of s(t) Exercise 1: a) 12 miles at 1 hour b) 2 miles north so one hour total change c) 42 miles total but ending at starting point Exercise 2: a) 15.625 sec. b) 3906.25 maximum height (or distance traveled up) c) d) e) 1616 feet, between 1 and 5 seconds if it went up. Exercise 3 a) Exercise 4: b) Because we multiply rate by day, which represents the sides of each square unit of area under the curve. c) LHS = 336 pollution units, RHS = 504 pollution units, Average = 470 pollution units

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