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Chapter 3: Q. 26 (page 310)
Calculate each of the limits in Exercises 21鈥�48. Some of these limits are made easier by L鈥橦opital鈥檚 rule, and some are not
The value of the given limit
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Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points.
Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these.
f (x) = (x 鈭� 1.7) (x + 3)
Use a sign chart for to determine the intervals on which each function is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.
The cost of manufacturing a container for frozen orange juice is cents, where is the height of the container in inches. Your boss claims that the containers will be the cheapest to make if they are inches tall. Use Theorem 3.3 to quickly show that he is wrong.
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