# C A L C U L U S #

Q u i v e s !? R a n d om ?
o r s o m e h i d d e n
p a t t e r n ? ?

th e w a y w e c u d
m a t h e m a t is e / ② .
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nt
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e
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et 6
c
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en 5
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o A u
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ly
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h
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x
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y n a a h
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s
s
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a
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↑ 9 x X
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g T
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n J x 2
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th
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l is 25
3
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om
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e c
t
h
in
g
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fu
n
c
tu
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③
is ✗
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ca h →
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f t' ⑤
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c
h or (
t. m x a 2 x
v → 7
e ed ) →
/r -
ap ② ; 0 α N
h ① ,
c n ,
f a o ,
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r 3 3
m a ³
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e ( p ll 0 -
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y ,f in
= t x
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(x )) of p
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ne
 so
& , Y

a f y is
in - f
y f
- u
(
)= er n
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M ) ,f t
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= s= [ ly en n
f W s)
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N r) at at il
- - - 's l
a f f ta a
c th
k
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a ) ex va
s p" lu y
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→ ou u
→ of
2 c
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p ca
n
a n
ns 't
ion
f
x c c
a or h h
e o oo
e. ev .g o se
f > - g er
se
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= ln x , y
2 n a = 2 2 n
2 -
)=
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f f ², + 5 &
la I 5) ) a &
d '( ) g = lr
er n m e t
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th
= t ( d e
at
iv
f i
a 1, y n n
e
a sn
n w 2 7
f 't A ) by y a
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n th , y ho
is
it is - se y
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l l
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t u)
M
E
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U 0
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N
2

f
↳ l
f ai 2
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f ( ee f
27
ou a)
l 2
l s is in 12
↑ o i)
↑

n f
,
en
2
2 c
o
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f x
↳ la 2
f f f sk
L
-c l a f M
ou ☑ as m I
l (m
d c is
o )
↓
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S
o, S
f f
e.
g lo
lu . pe
) ↳ " f s
va ↑
lu is 's ,
e 3 2
I 0 a o ↓
at
s ,
- f
n= 9 4
f lo ⇒
I O p .t
a lu e o f
M f o '(
6 4
f n
of 2 ◦ lu s )
Ta
t
) lo
pe ↑
n= f ↓
a 5 3 2
-
I " of
on (n
f ) t ←
in m a
, m
of ng
a M
T e en d in K
.g f A
a f t ek H
t ⊕ h K
n "
"= a a
= t ( f h
e 5 a
a ll ) y ha n
s = ' i
o n 3 ↗
n ot
f hi
'( ng f f f -
" f f f
n)
d a ( /( '/
ir bt x (
'( ' '
e f ) a) n x ( (
- ) ) a) a
ct
T 2 > - )
ly lu 0 0 2 >
) 0 0 0 0
f
⇒ ⇒ →
g " ⇒
( )
is a n f
ra ll ) f f f
li p > l f f
k h + in i l
0 n)
n lu a
t e of re ) )
u)
n
hi a ) ,
↘ s ny f N 2 c ↓ ↑
lu , > on c ↓
of ) 0 s on
t s
t
 ④ ③ e
2 ① .g
N f
a 2 N 2 y
→ t - T " n 2 f
(n = =
O
1-
) 0 8 'A f
0 N
- t N = → → ) lu
, = )
, , / 2 2 I
m 2 2 2
m 2 m (n n 2=
> ② 2
² 2 ² ² → 2 0 → 9
→
- - 0
→ → → a) 9 2 a) ?
9 =
O -α x = x
o
f t x
(m
+
x 2
( a
u - x 7 a)
p α =
a 0
r = = 2
s + a
e) N 8
f →
↑ ↑
'( f
n
) f f '(n
> )
0 : '>
0, =
: n 2
x
: o
 ② Y S
①
= o,
N 2 y n f
O 7 ½ ⁿ or
, 0, ,
a a (R an n y
n " n_- e
/ 7 a) aa w =f
n: M 0 n= (n
E ),
ev od 2
en d 1 u
- - si
n
a a a g
l n n- f
s 20 3
o Cr
+ '(
a .. n)
) . ,
f
+ ② "(
x n)
a ,
n a
- ③
4 n
a
a ly
n si
t s
= →
m
a
n cu
! r
f ve
f f f f !
'=
'> '2 ' a
0 7 n
0 , 0 0 s
, =
, n 2 ,
N o 4 2 n
- , 0, 7 a
O n
ne NE 0 t
ed E
 ④ ③
f
2 n N n "
+ t f- =
o -N o "= n
, d
0_ t
, , n (n
, n a on - -1
u n ⁿ↗ n - 9 -
h → 1) ) a
↳ / o a n-
- N D n 1
N -'
0 t =
- 4 n
(
NE
NE 1 f
o E O E 12 "s n
8 o "
, ,2 -&
2
< 7 a
0 0 (
n
n-
3a -
n M t 1
o E
.. te
.. rm
+
s
a
n-
2)
-
n
o
n
-
1)
a
n
-
2
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c is b A
tu ut
al { y
o s
A r u ⑪ re
m =
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of x
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d
er
w
a ir
e
A ?
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bt

a A
r 1 1 c
i A -
1
s
-2
um
o
f
{ t f
( ra in
a p di
-b ez sin
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iu ot
m
ca
)+
f
s?
l he
se
ap
syt
A
re
ae
s)
(b
n a
)) a
ot ² co
Σ A m f
p g
s = ea u in
2 sy ta e d
n
em
9 ti n m e
ic 3 h on ot
- = on e ra
2 t l
al
ir a ly
c J (2 sp ho
ch → e d
le . ) a ci s
! - a n f
²= g m ic
e
2 ug
a³ a f h
at (n a
a ts
"
l
),
f in
ha , f
✗ i il
! A
! )
 ( ↳ ↳
c A-
ir o h S
c ut
le ow
of
→
to
r A
+ e -3
g
u
co
,
e la 4 m
q r 15 pu a
u e c
p → te x cu
al o tr r
a a
ly A = te
, g - bu
on 4 le ?
O
t? N
÷
o ss
re ! ?
⅔ & ct w
¾ a e
⇐ : n D
g K
¾ - le
t s !
a e ↳
as
- ie
n t
g st ak
in
g
A d in
o A sp
= o iv
id -f
9 =( - e ro
3 9) G m
2 & ) ◦ ci
+ ,8 + z
oo
rc
2 ( to
m
le,
4 a !
= ᵗ
E) n
ʰ) + → →
n E a
on ) n
+ f
6 ti)
m ( a d
³ 2 ( ul iv
n E) t is é er
ro
+1) f . io r
a ( . ns
s a)
 4
y
=
= a
2
x A s
5
,
u n
2
=( -
→ 10
9
,
2n
. }
- A
-
A Cn ? o
= a : -
> ) /
n A
91 as
e 2 ¥
ed
+ ↑
3 (}
Σ =
= +
t" ( (n
t no in
✗
↳
(n ha
t " +
→ 5 #
o t } 9
a v ) 9
ny e
ry at
= a
ot . s
he le at =
r 4 a
ng
th s " 3 a
w y s
ay !
+
? n4 A ✓
2n
d
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it a ②
c s s
lo
e. se v
g e 1 1=
4
ry = ♂
t ⅓ k
.9 o 12 a
9 5 -9 h s
9 a e
l 12
≤
n r
5 3 9
1 S ie
0 C "{ ""
-9 I) 5 E ! 7 ? s
99 = S
9)
5 "
=
'
4
.9
9 A α
9. o a a
n = = = s
A o = , , G
w a a a 11 a P
- , a n n " n < r !!
+ n t t ( , !
t / /( a → 1 a
1- ft a i ( - 7
n a → C 1- r
t n p.4 n I- 1- a α ? ,
t 1 t f)
)
f) a
ti
l i ,f .- ) + + ,
-t ( ( a r
o I /+ a ?
r h a t
t n nt " _
h n in t h →
in t, ip c .
ne t h a o
't t t- f
r '(
& l a
-2 1- .
t + 1) ) .
h 4 + α
in +
n a
e --
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r - +
hp
²ⁿ
re a - .. (
ct ) α _ a
an . f
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le r)
s)
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e
rm
a
t
→

⑤
a
n
=
n a
t n
l t
i

n c
= h
- ol
1 l
i an
c =
as
e n A
t
l
nt
',
M
E
N
 ③ ①
g 1=
.=
y f ½
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= '( '
n) =
½ = .
Nt
a a t - R &
ca
- ½ t ;
a a
se
a # c
z , u
= = r
2 N n v
nt = C n % e
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a 0 O 0 a
e , , , )
f f f
' '2 '4 =
⅔ v 0 0 -
½
.D
⇒ .
f ②
-
"C
at 2 2 2
i.e = 4 7
. 0 0 0
⅔ i.e , , ,
no a (O 1 ¥ £
, t , = 4
p 2 V.D 0 7
n 2 oi = 0 0
7
nt 0 ). -D
o 0 ex , .
→ → is
ts
t f !
o "
70
 I
④
n ↳ 1 N
t - o
o a in
-o - n o. f
1 t
r 't
o lu
,' )-
l
0.
00 ½
1
0-
00
,
01 I
)
wi
li.le
R g.e
½ n E t
→
½ •
( ( y
t α ( R-
0
(- t nf
o .
.0
'
0. o { oo
0 ' 0 r
1, t
00 3
on
1,- t e&ax
0 o n
-0
lcl
0 it
0- .t ep
0
1,
os 00 , tn
." 01, o. o 0
0 -0 " I
-0 • 0
0 t -n t
0 ou
0 r
1 o, oo
, .- ,,
-- .-
,, )
) ]
⇒ 1
½ a #
+ - 2+
Ot α o- -0
(
½ ¼
# :
0 ")
 y
=
½

d
it is
s ta
li n
k ce
e
0 k
0 0 0 0 e
- -0 - ep l
n α 0 .0 .0
e ✓ 0 0
v 0 0 0 1 d
e 0 0 1
r 0 0 ec
= 0 0 1 re
0 1 a
1 si
n
g
,
X bu
-a S t
xi it o, n
n
s X j m w ev
e = - t e er
v
us
e a ow t et er
r ne A x s e 0
ve is a t
m r
sy rd en x n
e m e
e F p s d -a v
ts a to s xi er
lls t s
e
 A
re
a
?
s c
le
o, a
m rl
y,
ay
b
e
½
I 91
N ⟂ d
oe
s
n
't
m
1 e
m
uc
a
↳ h
s
l en
et se
's ,
le
a
v
e
it
?
 C
a
lc
ul
ea ↳ a
ti
sy o
? 3 n
c 2 s
a → 7 :
n 6 d
8 u
I M e
f K ✗ to
in A 4
d H 8 n
→ 5 a
9 vi
3
p? 7 g
2 ? at
7 10 io
6 ? n
8 /
= 10 sh
2 ip
IO =
P 10
5=
10
,0
0
0
④