Practice Fiizal
1
True/False
For each of the following quest ions respond trite if the statement is true and
false if the statement is false. If your response is false gve a counter example
or explaiti why.
1. The limit of
2. f(.r)
a function exists
is
=
cmii imious
on
at reniovable (liscoiltinuities.
[— 1, 2]
)
GA
(-cCG
3. Differentiable functions are continuous
4. The second (lerivative test can be mise(1 for any type of critical 1
)oant
hat the first derivative test call be.
-
PN
5. The derivative of the
r”
cc’-
antiderivative
T
1
of f(x) is
equal to
f(x).
b
6. If ff(;r)d.r
=
C) then f(x)=O for all x between a and I).
0.111-0.
£,O’J-
C.J11
)&\J
-Pi
0.
ko
7. To IIIL(I the volume of the region boun(Ied betweeii y = ;r
2 aII(l
rotated aliotit the x—axis you 511001(1 use the method of disks.
\/o
1’..s),.3lt
/Q(
t
5b(.Lc
-.f
8. In order to find the lengt 11 of a (i11V( (lescrthcd by an equation that. is
uiot a fumictioui you must first paranuetrize the equat loll.
lY uA Q
2
n..s1
r-d
Ffl
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p
--
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z
II
C
1’
g
(ji
F
-1-
)c
4.
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+
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i
I
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+
(JJ
-,
n
)
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p
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>
Ui
+
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C
CD
CD
3
2
Q-
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(I’
F
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---
I’
C’
>
a_
)
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0
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9)
H
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5-
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5-—
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C
=
t
C
q
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Cr:
+
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,-.
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1
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cc
5
F—
(
o
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0
0
0
‘—4
I’
c,c
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10. F uni t he volume of the resulting solid of rotation when the region
loimded by the curves y =
x=4. y=0 is rotated about t he x—axis.
.
/
0
)(
iT
0
vs.
0
lb%Ll
9
LJ
9
chc
‘I
0,
(‘1
‘I
*
>(
7’-
-4-
I
L
)
a
tI
)