A woman’s height, h , is related to the length of the femur, f (the bone from the knee to the hip socket), by the formula f = 0.432 h − 10.44 . Both h and f are measured in inches. A partial skeleton is found of a woman in which the femur is 16 inches long. Police find the skeleton in an area where a woman slightly over 5 feet tall has been missing for over a year. Can the partial skeleton be that of the missing woman? Explain.
A woman’s height, h , is related to the length of the femur, f (the bone from the knee to the hip socket), by the formula f = 0.432 h − 10.44 . Both h and f are measured in inches. A partial skeleton is found of a woman in which the femur is 16 inches long. Police find the skeleton in an area where a woman slightly over 5 feet tall has been missing for over a year. Can the partial skeleton be that of the missing woman? Explain.
Solution Summary: The author calculates whether the halfway skeleton is that of the missing ladies.
A woman’s height, h, is related to the length of the femur, f (the bone from the knee to the hip socket), by the formula
f
=
0.432
h
−
10.44
. Both h and f are measured in inches. A partial skeleton is found of a woman in which the femur is 16 inches long. Police find the skeleton in an area where a woman slightly over 5 feet tall has been missing for over a year. Can the partial skeleton be that of the missing woman? Explain.
Use Heun's method to numerically integrate
dy
dx
= -2x3 +12x² - 20x+8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x + 4x³- 10x² + 8.5x+1
B: Study the stability of critical points of ODES:
*+(x²-2x²-1)x+x=0
and draw the phase portrait.
B: Study the stability of critical points of ODEs:
-2x²+x²+x-2=0
and draw the phase portrait.
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