Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Confidence Intervals
When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…
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A function and its graph are given. f(x) = x3 + 2x2 - 12x – 20 y 60 40 20 -8 -6 -4 -2 -20 -40 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) (-2,00) Estimate where f"(x) < 0. (Enter your answer using interval notation.) (-о, — 2) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) X = -2 (b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima DNE relative minima X =
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Transcribed Image Text:A function and its graph are given. f(x) = x3 + 2x2 - 12x – 20 y 60 40 20 -8 -6 -4 -2 -20 -40 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) (-2,00) Estimate where f"(x) < 0. (Enter your answer using interval notation.) (-о, — 2) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) X = -2 (b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima DNE relative minima X =
(c) Verify your results in parts (a) and (b) by finding f'(x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > 0. (Enter your answer using interval notation.) (-2,00) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) X = Find where f '(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima X = relative minima X =
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Transcribed Image Text:(c) Verify your results in parts (a) and (b) by finding f'(x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > 0. (Enter your answer using interval notation.) (-2,00) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) X = Find where f '(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima X = relative minima X =
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