0803-Monthly-Sol

# 0803-Monthly-Sol - One or Nothing ! AP Cal Monthly - Sol...

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One or Nothing !!! AP Cal Monthly - Sol Name: C heong S him I nternational A cademy - 1 - ± You should show all work. You may not receive any credit for correct answers without supporting work. Unless otherwise indicated, the numeric of algebraic answers need be simplified, and the domain of a function is the set of all real numbers. 1. Let be a function that is everywhere differentiable and that has the following properties. ⅰ)         for all real numbers and . ⅱ)    for all real numbers . ⅲ)  ⒜ Find the value of  . ⒝ Show that    for all real numbers . ⒞ Using part ⒝, show that   ⋅ for all real numbers and . ⒟ Use the definition of the derivative to find  in terms of  . ⒜ Let                     ∴   ⒝ Let                  Use    ,      

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## This note was uploaded on 09/26/2011 for the course GF sdf taught by Professor Sdfg during the Spring '11 term at Columbia School of Broadcasting.

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0803-Monthly-Sol - One or Nothing ! AP Cal Monthly - Sol...

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