A walker exercises on an elliptical track given by the equation 4 x 2 + 9 y 2 = 36 , where x and y are measured in units of 100 meters. Use Newton’s Method to approximate the point on the track at which the walker is nearest to a flag pole located at the point 2 , 1 . What is the distance between the walker and the flag pole for this approximation?
A walker exercises on an elliptical track given by the equation 4 x 2 + 9 y 2 = 36 , where x and y are measured in units of 100 meters. Use Newton’s Method to approximate the point on the track at which the walker is nearest to a flag pole located at the point 2 , 1 . What is the distance between the walker and the flag pole for this approximation?
A walker exercises on an elliptical track given by the equation
4
x
2
+
9
y
2
=
36
,
where
x
and
y
are measured in units of
100
meters. Use Newton’s Method to approximate the point on the track at which the walker is nearest to a flag pole located at the point
2
,
1
. What is the distance between the walker and the flag pole for this approximation?
Use the figure, which shows two lines whose equations are
y1 = m1x + b1
and
y2 = m2x + b2.
Assume that both lines have positive slopes. Derive a formula for the angle between the two lines. Then use your formula to find the angle between the given pair of lines.
y = x
and
y =1/(3)^1/2
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