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At the end of Chapter 7, you should have mastered the following skills and be ready to test:
Solve problems involving applications of vectors, as in problems 7-43, 7-93, 7-130, and CL 7-140.
Evaluate limits from a graph (one-sided limits and limits at a point), as in problems 7-36, 7-74, 7-87, and CL 7-134.
Evaluate limits using points determined from an equation by using a table or graph (one-sided limits and limits at a point), as in problems 7-21, 7-47, 7-60, 7-61, 7-62, 7-89, 7-116, and CL 7-135.
Calculate the average rate of change in a situation (table or equation) where the interval is specified, as in problems 7-72, 7-73, 7-86, 7-102, 7-115 (a), and CL 7-136.
Write and simplify an expression for the average rate of change of a function from x to x+h when given h as in problems 7-88, 7-99, 7-114, 7-115 (b), and CL 7-137.
Using the formal definition of continuity, as in Lesson 7.1.4
Calculating instantaneous rate of change by taking the limit as h→0 of an average rate of change expression, as in problems 7-115 (c) and 7-126.
Calculating instantaneous rate of change in situations, as in Lesson 7.2.5.