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13 Nov 2019

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3. For each of the functions described below (each continuous on [a, b), state the location of the func- tion's absolute maximum and absolute minimum on the interval a, bl, or say there is not enough information provided to make a conclusion. Assume that any critical values mentioned in the prob- lem statement represent all of the critical numbers the function has in la, bl. In each case, write one sentence to explain your answer. (a) f(x)s0 for all x in [a, b (b) g has a critical value at c such that a0 for xc (c) h (a) = h(b) and h"(x) 0, p(b) 0 forx>c

3. For each of the functions described below (each continuous on [a, b), state the location of the func- tion's absolute maximum and absolute minimum on the interval a, bl, or say there is not enough information provided to make a conclusion. Assume that any critical values mentioned in the prob- lem statement represent all of the critical numbers the function has in la, bl. In each case, write one sentence to explain your answer. (a) f(x)s0 for all x in [a, b (b) g has a critical value at c such that a0 for xc (c) h (a) = h(b) and h"(x) 0, p(b) 0 forx>c

Lelia LubowitzLv2

18 Sep 2019