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The graph to the right gives the position, s(t), of a biker (in feet) from her starting position after t seconds. Positive values of s(t) indicate that she is east of her starting point, and negative values indicate that she is west of her starting point. (a) Explain the meaning of s' (t) and s"(t) in the context of this problem. (b) Where is s' (t) positive? Where is s"(t) positive? Ex- plain the significance of each answer.

The graph to the right gives the position, s(t), of a biker (in feet) from her starting position after t seconds. Positive values of s(t) indicate that she is east of her starting point, and negative values indicate that she is west of her starting point. (a) Explain the meaning of s' (t) and s"(t) in the context of this problem. (b) Where is s' (t) positive? Where is s"(t) positive? Ex- plain the significance of each answer.

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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The graph to the right gives the position, s(t), of a biker (in feet) from her starting position after t seconds. Positive values of s(t) indicate that she is east of her starting point, and negative values indicate that she is west of her starting point. (a) Explain the meaning of s' (t) and s"(t) in the context of this problem. (b) Where is s' (t) positive? Where is s"(t) positive? Ex- plain the significance of each answer. s(t) 4 2 -2 -4 0:5 1:5 2:5 3 t 3:5 7
Transcribed Image Text:The graph to the right gives the position, s(t), of a biker (in feet) from her starting position after t seconds. Positive values of s(t) indicate that she is east of her starting point, and negative values indicate that she is west of her starting point. (a) Explain the meaning of s' (t) and s"(t) in the context of this problem. (b) Where is s' (t) positive? Where is s"(t) positive? Ex- plain the significance of each answer. s(t) 4 2 -2 -4 0:5 1:5 2:5 3 t 3:5 7
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