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Question
Assume the earth is a sphere with a radius of 6,371,000.000 meters. Three points are defined by their latitude and longitude.
Point Latitude (N) Longitude (W)
A 40° 25' 48.67" 86° 54' 54.00"
B 40° 25' 47.00" 86° 54' 54.00" Purdue CE
C 40° 25' 47.00" 86° 54' 55.87"
a. Compute the linear arc distance along the meridian from A to B to the nearest 0.01 meters?
b. Is the direction of travel from A to B along the meridian to the north or to the south?
c. Compute the linear arc distance along the parallel from B to C to the nearest 0.01 meters?
d. Is the direction of travel from B to C along the parallel to the east or to the west?
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Use Lagrange interpolation to estimate f(3), given that f(1) = 1, f(4) = -3, f(2) = 0 and f(-1) = 3.
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