## Solution for problem 5 Chapter 3.1

# Show that C[a, b], together with the usual scalar multiplication and addition of

Linear Algebra with Applications | 8th Edition

Show that C[a, b], together with the usual scalar multiplication and addition of functions, satisfies the eight axioms of a vector space.

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L23 - 4 How can we ﬁnd those extreme values Def. Aufcin f has a local (relative) maximum at c if there is an open interval I containing c such that for all x in I Def. Au fcin f has a local (relative) minimum at c if there is an open interval I containing c such that for all x in I ex. Find all local and absolute extrema of the function f(x)skhdb l. abc e d

###### Chapter 3.1, Problem 5 is Solved

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Show that C[a, b], together with the usual scalar multiplication and addition of