MAC 2311C Study Guide - Midterm Guide: Tahiti
20 Jun 2018
School
Department
Course
Professor
TEST 3
Study Guide
Ch 4
axlnin Acceleration
absolute Max =/ local Max S'(t )=v(€ )
if it Occurs at an
i
V
'Lt )= act )
endpoint . .
-Extreme value theorem -
.
-Mean value Theorem -
if continuous then
.
Max &min
1
•
MVT -fthat satisfies .
•NO Max
•Nomin 1continuous on Closed
interval [a,b ]
µ(•{
"×µ[ @g. gg e. any ,a↳ . on
Open Interval (a
,Io )
fkx )=0Doesnt always
3fc a)=f(b)
mean Max 1mi then #Cexists in
(a
,b)such that
Method
f/(c)= 0
1Plug Critical #'S
that are in interval f( b) -fc a)=f'C c) (b-a)
@plug endpoints
Example :
3Circle Max 1min fct )=×3 -×
a=o b=z
find C
E)
Ez '
2
,cont [0,2 ]
\1%
5,
'
'\
i¥¥⇐⇐,⇒
Adiff (0/2) )
\\
\//,
'
\\,,
I
'
'1
t'
"(6-o)
=(3c2-
1) (2-o)
*X cant
,
11y'
,
6= (3c2 .
1) (2) beneg
T-
-
,"l
'
,
'
[3=3c2
.1
c=±Es
,
'1\\3<2
=4
1'
2
=±(=Z
C
zB
