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Error and functions

Please help me in attached problems.

A customer ordered a quadratic metal sheet with side length x0=10cm. What is the maximal acceptable error of the side length if the area of the metal sheet should be?...

For each of the following functions:
state if the function is monotone
Decide if it is injective, surjective or bijective on the given domain
Find the supremum and infimum (if they exist); in each case state whether or not the function attains its bounds.


Solution Summary

This provides an example of calculating maximal acceptable error and determining if a function is monotone and injective, surjective, or bijective, as well as finding supremum and infimum.