prove: 3.b 3. Let ( be a line and assume that f: ( →R is a coordinate function for . a. Let -f: (R be defined by (-f)(P) = -f(P) for every PEL. Prove that -f is also a coordinate function for . b. Let c be a constant and let g: R be defined by g(P) = f(P)+ c for every PEt. Prove that g is also a coordinate function for l.

prove: 3.b 3. Let ( be a line and assume that f: ( →R is a coordinate function for . a. Let -f: (R be defined by (-f)(P) = -f(P) for every PEL. Prove that -f is also a coordinate function for . b. Let c be a constant and let g: R be defined by g(P) = f(P)+ c for every PEt. Prove that g is also a coordinate function for l.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

prove: 3.b
3. Let ( be a line and assume that f: l →R is a coordinate function for €.
a. Let -f: (R be defined by (-f)(P) = - f(P) for every P E l. Prove that -f
is also a coordinate function for (.
b. Let e be a constant and let g: → R be defined by g(P) = f(P) + c for every
PEl. Prove that g is also a coordinate function for t.

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