Max & Min Values (4.1)
Extreme Value Theorem: If f is continuous on [a,b] then there exists c,d where f(c) is an absolute
max and f(d) is an absolute min
EVT not true if f is not continuous
EVT not true if there isnt a closed interval
Extremes
Absolute Ma
ggalculus Bg; Mid-Chagter GraphiggBeviex/y # 8
09 1. Find, classify, and justify all local extrema and inection points for
f ()6), given f '(x) = ()6 -1)2(x - 2)
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/ The radius of an inating balloon. A spherical ballbon is inated with helium at the rate of
V 1007: ft3 / min . How fast is the balloons radius increasing at the instant the radius if 5 it?
How fast is the surface area increasing? ,5 _
We, \(WOW. 36:;
1. Be able to state each theorem-completely, and sketch a graph illustrating the theorem.
CF? 79%) is. Givimwus 0w X6395] and Wyeth? on X egoqb)
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Calcul BC v in .l
A particle is moving along a line. Answer each question completely, showing your work in good
form.
1. v=sint s0 =3. Finds(t),
$4; * Smt r _~_H_H_m_m_
jcis =f5m'l3di3 \ = Co,5£ +Ll /
6 = 695i: + C m"
8 = 0050 +6
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2. a=é vo=0 30