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Based on the following table of values for the function s(t), determine the signs of s'(t) and s"(t). t 1 2 3 4 5 s(t) 99 72 52 37 25 17 O s'(t) > O, s"(t) > O O s'(t) < O, s"(t) < O O s'(t) < 0, s"(t) > O O s'(t) > O, s"(t) < O O s'(t) < 0, but the sign of s"(t) is undetermined. O s"(t) > O, but the sign of s'(t) is undetermined.

Based on the following table of values for the function s(t), determine the signs of s'(t) and s"(t). t 1 2 3 4 5 s(t) 99 72 52 37 25 17 O s'(t) > O, s"(t) > O O s'(t) < O, s"(t) < O O s'(t) < 0, s"(t) > O O s'(t) > O, s"(t) < O O s'(t) < 0, but the sign of s"(t) is undetermined. O s"(t) > O, but the sign of s'(t) is undetermined.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Based on the following table of values for the function \(s(t)\), determine the signs of \(s'(t)\) and \(s''(t)\). | \(t\) | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | \(s(t)\) | 99 | 72 | 52 | 37 | 25 | 17 | ### Answer Choices: - ○ \(s'(t) > 0\), \(s''(t) > 0\) - ○ \(s'(t) < 0\), \(s''(t) < 0\) - ○ \(s'(t) < 0\), \(s''(t) > 0\) - ○ \(s'(t) > 0\), \(s''(t) < 0\) - ○ \(s'(t) < 0\), but the sign of \(s''(t)\) is undetermined. - ○ \(s''(t) > 0\), but the sign of \(s'(t)\) is undetermined.
Transcribed Image Text:Based on the following table of values for the function \(s(t)\), determine the signs of \(s'(t)\) and \(s''(t)\). | \(t\) | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | \(s(t)\) | 99 | 72 | 52 | 37 | 25 | 17 | ### Answer Choices: - ○ \(s'(t) > 0\), \(s''(t) > 0\) - ○ \(s'(t) < 0\), \(s''(t) < 0\) - ○ \(s'(t) < 0\), \(s''(t) > 0\) - ○ \(s'(t) > 0\), \(s''(t) < 0\) - ○ \(s'(t) < 0\), but the sign of \(s''(t)\) is undetermined. - ○ \(s''(t) > 0\), but the sign of \(s'(t)\) is undetermined.
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