Midterm Calculus1 Ahmedawad

2
Ain Sharns UnivcrsitY Iincu!lv of E,nginccring {' Nerv I'rograms D fi^& F is thrse Pr.,,,- Lrlt 'S't Fc"l Fi* d L +he . i2-Lrl .. |'o- the ,' J" niil('J ? s&f'\ qrror.b ot fi 'u",+*' iF 2"1' = i a-1 ,- iF / o(7S2- \ q*-1) \F ) u>\ //v%E tt+r{*) tF+{ ^ r/ tl: -(t n'f "JI xo+ * ,fity /1x) {{$z-) \'tL -f , lr+*) (4t'-; \ (4f -: ,t n'[ " nd. dx Ti , \.1 /^ ). -^ ^l \ ("}',f +x^ ) ? q (x'*fr +x>' t. (tr fi *rL^) ,( - ."& 3 lz: it 4L */ /t ll fr -7 i I I I I I I I \ *o**)% +i) ' fi-- t+ttt- ,7-t--x' t x=o t-t r / +6- l-/' r- ,X-o' I 1: (x-t)' "/ y 7L PCrl = t-L=<> P (v-r)')., a.t s L, // )-L )---x -- t5 V A- /1L 16.,) = ,2- ax :l * e-x =2 p.'f cuai'o** \-l d= J. 2{ (a t/ rl ;,,4 (t t \3 ) k ,l oU ll - - b + J-t ' ,A,F aL -tl' -).tx I NL C.",h*f IIMA'I']';- ' :fuL*tt;' |' frrr en gi nr:e rs Els'vs!-,ifuL:r:liilt-] i:. lt nr Midlcrtrl I'lxAm, S e,L-.,- I

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Calculus I

Transcript of Midterm Calculus1 Ahmedawad

Page 1: Midterm Calculus1 Ahmedawad

Ain Sharns UnivcrsitY

Iincu!lv of E,nginccring{' Nerv I'rograms

D fi^&F is

thrsePr.,,,-Lrlt

'S't

Fc"l

Fi* dL

+he . i2-Lrl .. |'o- the

,' J" niil('J ? s&f'\qrror.b ot fi'u",+*' iF 2"1'= i a-1 ,- iF / o(7S2-

\ q*-1) \F ) u>\

//v%Ett+r{*) tF+{

^ r/ tl:

-(t n'f "JIxo+ *

,fity /1x) {{$z-) \'tL -f ,lr+*) (4t'-;\ (4f -:

,t n'[ "

nd. dxTi

, \.1/^ ). -^ ^l

\

("}',f +x^ )?

q (x'*fr +x>'

t. (tr fi *rL^)

,( -

."&

3lz:it

4L*/

/tllfr -7

iI

I

I

I

II

I

\ *o**)%

+i)

' fi-- t+ttt-,7-t--x'

t x=ot-t r

/ +6-

l-/' r-,X-o'I

1: (x-t)'

"/ y 7L

PCrl = t-L=<>

P (v-r)').,a.t s L, //)-L )---x -- t5V A-/1L

16.,) =,2-ax :l

*e-x =2

p.'f cuai'o**

\-l

d=

J.2{

(a

t/rl

;,,4

(t

t\3)k

,l

oUll -

-b+ J-t' ,A,F

aL-tl'

-).txI

NL

C.",h*f

IIMA'I']';-' :fuL*tt;' |' frrr en gi nr:e rs

Els'vs!-,ifuL:r:liilt-]i:. lt nr Midlcrtrl I'lxAm,

S e,L-.,-

I

Page 2: Midterm Calculus1 Ahmedawad

Lw=tr* &v

(*'* g) -tc*)

Ut= €xJa--ax3+,n3r-

h= b /3

y-o = /,FTz/ I

6'iE (" - zli

*<'c' {'i s/

rttE

wr/=N',J?E-

o/0

L7

iJIr -> '4

)[i;;/

Fc*l = I

x_4C no n h {tt lun ub:

{U L=,)(

-)ta X -\

3 -* )aq :o

9t-- 3.*-Lut+ x3

r?n *hri-r*"I

x -JI - N( ur? 'L':

=M J;n'btn +=r-csuq'o--, n q-L _+o

n+ utK^f f"ints c>-\

*/v l'XatrLulo21!r(t'r' is *12-

h,J^r' ^g^b 7^r^t/ cl

to Ph{ lt'ne 7vt-/= o

,1--(l g = ry+3

tr-= L/=

('

(r,t)X ; -A /'(-1,-e)

l=- /a /t= -. /7U', -x U rL3 rlt--ct,Vqrl 1.'n = -v

' -?.,

n-- , -- t 2,

-

1-/ ?(?'

Ly---gn--A, o-' -L