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.

College Algebra
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Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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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.
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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