2. In submarine location problems, it is often important to find a submarine's closest point of approach to a sonobuoy (a sound detector). Suppose that a submarine travels along a parabolic path y = x² and the sonobuoy is at position (2, -0.5). It has been known that the value of needed to minimize the distance between the submarine and the buoy must satisfy the following equation x= 1 1+x² 1 Use Newton's Method to find a solution to the equation = 9 decimal places. 1 1 + x² correct up to

Advanced Engineering Mathematics
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2. In submarine location problems, it is often important to find a submarine's closest point
of approach to a sonobuoy (a sound detector). Suppose that a submarine travels along a
parabolic path y = x² and the sonobuoy is at position (2, -0.5).
It has been known that the value of a needed to minimize the distance between the
submarine and the buoy must satisfy the following equation
1
1+x²
1
x=
Use Newton's Method to find a solution to the equation x =
9 decimal places.
1
1+x²
correct up to
Transcribed Image Text:2. In submarine location problems, it is often important to find a submarine's closest point of approach to a sonobuoy (a sound detector). Suppose that a submarine travels along a parabolic path y = x² and the sonobuoy is at position (2, -0.5). It has been known that the value of a needed to minimize the distance between the submarine and the buoy must satisfy the following equation 1 1+x² 1 x= Use Newton's Method to find a solution to the equation x = 9 decimal places. 1 1+x² correct up to
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