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Set 9 Comments

1) The document discusses various mathematical formulas and equations relating to functions, vectors, and integrals. 2) Key concepts covered include vector addition and subtraction, vector functions, integrals involving trigonometric and exponential functions, and differentiation formulas. 3) The document presents several mathematical expressions and equations with variables such as A, B, R, H, and integrals involving functions of u and x.

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0% found this document useful (0 votes)
160 views11 pages

Set 9 Comments

1) The document discusses various mathematical formulas and equations relating to functions, vectors, and integrals. 2) Key concepts covered include vector addition and subtraction, vector functions, integrals involving trigonometric and exponential functions, and differentiation formulas. 3) The document presents several mathematical expressions and equations with variables such as A, B, R, H, and integrals involving functions of u and x.

Uploaded by

api-409876
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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b.;'.".. {i*nct;o rt

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+ lo,.tly6
0 I

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t

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+ t' o 1 . b t ( , ; 1 ) g 3
r
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c.
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ter .,t *he


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f = b , ;1 < , . . * 3 . * J= f ]
a l ' s 3 ( ca"^vt.f7irA ) k'= 4 tr - - t n )
(,6, $'1,orv t-e l"i
skFf. tk-*; 1r- ^
f x., s,
1, r--.'' t,
L
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dr,?v -+ I
t F
fhAJ ta
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t{l N}

rkf 3 pl,Vtrd (o^t


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t*= - k**fd
tq v d"-^s; c.^d*,''|ir- trr,Ir;x a^/, ,t" t; VhilJ'-")n'tLl
f*t)r-) -1, v th,'^;rn)rtd

T A = U + S o * - f L ? + J t - *= T A ( f t l l
o^d*f ,)" , U = +.t( k*.2#)" "lv
S+*n rrnr)&b,b S4= {$ 81.dv
t'J l^- fz , 9t= -{{ f r ds
6..,1
t r^f I oY't dia- ta
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ftf;e =o 4
ffi\
t&,lltt =t f l [;:7
-$ Lt41
( r A . r n ) lil = {*03* +
l+rJ l#r
hil'u^r. tL,l ={J l.l'l'LoJloldv
rLolbl dl
= A !: tsl ( t - lI I
=oI":
l;*]tr*lt-I t1 r
di=ryy L , , J ii
= f a,= ff tr:
rLrt tsI r;] tu1 ll I X]'l ds--t^e?i]$
^t:^rjl u
\-'X
A

-- [nl "o dv = AJ:[u]14dl =


-Qn ^A( L
o J\l.rt f- ll o^ rx3=o
- 4ll I
1{r\ {J rt 'n
TlrJ
6 ^ r L ( r' - f t , , h . rlft)
= k,^?
fru]rds Jjttftd i
x_=i
=
I 'tl = $.?,,;
z = k '
a[^y? l l ^
Jol? )or=: {, J

={,
AG ={lhtnl
rulras 5J "'d s = h t o A l ? l; l
Url **" T*
( b ( ryA,'l*r.A[: -
?r)lllW r:;i
ry|:l+ArnA
' L,tt1 <r"!>wrcrfe.o{ u/
'/t
c . . . , l Ol;Ftuu-
_u,fru,- bt*
'\ att!-ans
t
s\t )
**ttt',f. +
, a '

6At= #.,n''mzwe{/t I
9n''h'rrr= w " 7f,
7/ ) ft,r*ec* he.,{ *t...*,
t , *, +' tvr t t5 tI
= 5f'
. l

tr,ft, * firA,f,,'"c'i =w= 5 / sl

sl"f5 Nruo'^LlT + 9' c lTsJfril'rr

J+{tI, soln /". 1t \


- +1<t"rN'e^f :
-ku#-
W lk, ?r':'=
,rl? 7 (.t
,rh ,l Ld )i"-t O ln^)",r;r,
( U
I
tro

14, V-bt- ( r u " S )


@ t* h
A h*x
T l"t ry ry A1.e
o , L fo NlA to o NlA
o L 3 2t NlA 3 o u/a
o 1 4 >o NIA
tl',.
t,
rb
i - . , r . v . . - - c " .\ t' 7 ' N
D
( i *i.'Lr- -{e'{- \
N/*

D h 3 dr_^r^f + r ({"1I + t " r J= I { t e t l


o c"[-1I I Il:i I,'j '-
lo

o I J I'I ll;t = 3 l , ' l


-,'
fr, I lli l = l6 rtl

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