pep 1 calculo
DESCRIPTION
examen de calculoTRANSCRIPT
-
7/18/2019 Pep 1 Calculo
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.
.
,
Sa
n t i
a
g
o
,
2 8 de
M
a
y
o
d
e
2 0
1
5
4
V
{
B o s
q
u e
j
e
s u s
r e s
p
e c t
i v o s
g
r f
i
c
o s .
X
b
)
D e t e
r m i n
e m
x
i m o s
y
/ o m f n i m o s d
e l a s
f u n c
i
o
n e s
H a l l e l a s e c u a c i o n e s d e
l
a
s r
e c t a s
t
a
n
g
e n t e
y
n o
r m a l e n
x
-
1
r e
s
p
e c t
i v
a m e n t e .
x
+
1
a
)
C o
n s i d e r e
l
a
s f u n c i
o
n e
s
f
(
x
)
=
y
.
,
-
x
y g
(
x
)
=
y
-
+
I n
x
.
4 .
d
)
2
e
r
=
T
+
4
e n x
-
0
.
b
)
y
-
e
x
+
3
s i n x e n x
-
a
y
2 3 x 5 x
2
x
4
F
e
n o .
3 . C
a l
c
u l
e
l a d e D
v
a d a e
n
e l
p
u n t o i n d i c a d o
p
a r a
c
a
d
a f u
n c i n d a d a
d
)
D
e t e r m i
n
e
l
o s
p
u n t o s d e i n t e r s e c c i n c o n
l
a
r e
c t a
L : x
-
y
-
5
=
0 .
c
)
G
r
a f i
q
u e a m b a s c t
1r v
a s
.
b
)
D
e t e r m i n e l o s
p
u n t o s d e
i n
t e r s e c c
i
n
,
s
i
e s
q
u
e e x i s t e n
,
e n t r e
f y g
.
de c r e c i m i e n
t
o
.
a
)
G
r
a
f
q
u e
l
a s
d
e t e
r m i
n a
n
d o r a c e s o c e
r
o
s
,
v
t i c
e
s e i n t e
r v
a
l o s
d
e c r e c i m i e
n
t
o
y
/ o
2 . C
o
n
s
i d e r e l
a
s
f u
n c i
o
n e s c u a
d
r
t
i c
a s
f
(
x
)
=
y
-
2
2
+
3 x
-
5
y g
(
x
)
=
y
-
1
-
x
2
.
e
)
D e
t e r m i n e l a e c u a c i n d e l
a
p
a r b o l a
q
u e c o n t i
e
n e a l o s t
r e s
p
u n t o s .
d
)
C
a l c u l
e e
l
r
e a d e
l
n
g
u l o A A B
C
.
c
)
C o
n s i
d e r e e l t r i n
g
u l
o
A A B
C .
D e t e r m i n
e
l
a s e c
u
a
c i o n e s d e s u s
l
a
d o s
y
a l t u r a
s
.
b
)
C a l
c u
l
e e l
p
e
r i m e
t
r
o d
e l
t
r i
n
g
u
l
o
A B
C .
a
)
D i b
j
e
l
o s
e
n
e l
p
l a n
o
c
a
r
t e s i a
n o
.
1
. D
a d
o s l
o s
p
u n t o s A
=
(
-
1
,
0
)
,
B
=
(
1
,
-
2
)
y
C
=
(
2
,
2
)
PE P
1
A y u D A NT E
R E N AT
O U
R
E T A C
A L D
E
R N
M E
E m .
I
N GE N 1E RFA D
E E
JE C u c I N E N M E C ` N I c A
F
A C U L T A D D E
I N
G
E
N I E R FA
U N I
V
E R S I D A D D
E S A N
T
I
A G
O
D E C H I L E
in
Y
x
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7/18/2019 Pep 1 Calculo
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C A
L
W
.
h D
2
.
W L
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7/18/2019 Pep 1 Calculo
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7/18/2019 Pep 1 Calculo
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7/18/2019 Pep 1 Calculo
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7/18/2019 Pep 1 Calculo
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7/18/2019 Pep 1 Calculo
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`
.
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A
C
g = = = = = = l
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7/18/2019 Pep 1 Calculo
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7/18/2019 Pep 1 Calculo
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