The forces of the human gastrocnemius tendon during traction and during recoil can be approximated by the functions f (x) = 71.3x - 4.15x + 0.434x and g (x) = 71.0x - 10.3x + 0.986x', respectively, where 0 s xs 11 is the tendon elongation in millimeters. The forces are measured in Newtons (N). Integrate from x 0 to x 11 to compute the elastic strain energy, given by the area bounded by the graph of the two functions. Your units will be N-mm, which is equivalent to millijoules.
The forces of the human gastrocnemius tendon during traction and during recoil can be approximated by the functions f (x) = 71.3x - 4.15x + 0.434x and g (x) = 71.0x - 10.3x + 0.986x', respectively, where 0 s xs 11 is the tendon elongation in millimeters. The forces are measured in Newtons (N). Integrate from x 0 to x 11 to compute the elastic strain energy, given by the area bounded by the graph of the two functions. Your units will be N-mm, which is equivalent to millijoules.
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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Transcribed Image Text:The forces of the human gastrocnemius tendon during traction and during
recoil can be approximated by the functions
f (x) = 71.3x - 4.15x + 0.434x and
g (x) = 71.0x – 10.3x + 0.986x',
respectively, where 0 sxs 11 is the tendon elongation in millimeters. The
forces are measured in Newtons (N). Integrate from x 0 to x 11 to compute
the elastic strain energy, given by the area bounded by the graph of the two
functions. Your units will be N-mm, which is equivalent to millijoules.
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