The force F (in pounds) on a person's back when he or she bends over at an angle e from an upright position is modeled by 0.6W sin(e + 90°) sin(12*) where W represents the person's weight (in pounds). (a) Simplify the model. F- (b) Use a graphing utility to graph the model, where W = 175 and 0° s e s 90°. At what angle (in degrees) is the force maximized? At what angle (in degrees) is the force minimized?

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 force F (in pounds) on a person's back when he or she bends over at an angle from an upright position is modeled by
0.6W sin(+90°)
F =
sin(12⁰)
where W represents the person's weight (in pounds).
(a) Simplify the model.
F
(b) Use a graphing utility to graph the model, where W = 175 and 0° ≤ 0 ≤ 90°. At what angle (in degrees) is the force maximized?
A =
。
At what angle (in degrees) is the force minimized?
0 =
Transcribed Image Text:The force F (in pounds) on a person's back when he or she bends over at an angle from an upright position is modeled by 0.6W sin(+90°) F = sin(12⁰) where W represents the person's weight (in pounds). (a) Simplify the model. F (b) Use a graphing utility to graph the model, where W = 175 and 0° ≤ 0 ≤ 90°. At what angle (in degrees) is the force maximized? A = 。 At what angle (in degrees) is the force minimized? 0 =
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