Linearization of a function. Attachments in Word.
The distance l from a point at a height h above the Earth's surface to the horizon can be approximated using Pythagoras' theorem by the expression: (Please see the attachment below)
(a) Find an expression which serves as a linear approximation for l at h=1000 m.
(b) Give two assumptions you think have been made in deriving the expression above.© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/numerical-analysis/linearization-of-a-function-attachments-in-word-27p
Plugging the above equations into the Euler Equation above:
lh=1000 = (0^2+2r(0))^1/2+[(0^2+2r(0))^-1/2(0+r)](1000-0)
lh=1000 = 1000r
This is the linear approximation to the original ...