soal matematika ipa snmptn 2008 202 jogjastudent.com

www.onlineschools.name

y = x3 + 1

"
"

1

0

ydx + xdy
0

−1

1

0

ydx +

0

xdy
−1

1

( y − x)dx
−1
2

0

xdy −

ydx

−1

1

−1

1

ydx − xdy
−1

0

(log a )x 2 + 2(log a )x + log b = 0
!

a>b
a 1
a < b, a < 1
a < b, 0 < a < 1

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$

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y = ax 2 − (a + 1)x + 6, a ≠ 0
& #!
#
'
(
)
_

→

*

_

→

$

+ p

+

1
!
2

cos a =
_

_

→

+ a = −4 x i + 2 j

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_

b = −3 i + x j !

+

,

→

→

→

→

a

b

a

p

→

p=

_

3i+ j
_

_

− 3i+ j
_

_

3i− j
_

_

− 2i+ 2 j
_

_

− 3i− j
'

$

cos 2θ − 3 sin 2θ = −1

ctgθ =

cos θ ≠ 0 !

1
3

−

1
3

1
3

3

− 3
(

%

!

/ /
0

0

&#

+
.!

*
(
)
1

2

y = x2 − x −1 −1
x=

3
%
3

1
2

[12 ,1]
x = − 12

% 40 ! 5
% [− ∞, 12 ]

$
#

%

!.

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(3

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10 3
3 5 3
9
2

3

3 2 3
#
6

3

1

y=−

$

3

( x − 2 )2 + y 2

x+r 3

= r2 !

!

&
'
#
0
0#
. 7

"*
$

+
"*

"

+

+

!

/

, !

.

*'
''
('
6.
.

f ' ( x) = lim

$

1
x+a

a →0

−

1
6

1
6

− 1x
a

f (b) = −

1
!
6

1
6

− 16
6

− 6

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(
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πx
2x
cos