Download Sample Final Exam with Solutions - Introduction to Analysis I | MATH 101 and more Study notes Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity! Math 101 Spring Final @eview Sslationc.
b) ye tte) 433
y* 3ardd
QO) m+ I-72 += -6 72 ® NVieteet L
= @
yemxrb Vrieantel Line
T= Medeb G7)
Te 4a
4-4 = gtx} |
@ e) m= Bia-32 = lwo +1.
\w - 0 lwo
4 mx¥b
a> b
2° be = 9 \.& +32
@ © £lx)< I
a) (-38)> (-a»
b) dancin ® iride 20
5 -x 20
= Rs x £0
Not [Not fonctin ) = ©
© uy) bx- OB Fu) = Y-dn-3
22k L-ke) Be.
Nx aA 30) > 1
Vat 4h) = iy ay-3 = -4
X|- Veertey (1, -4)
— “then
O* x" dx-3
c a
0? (x-3ee)) =? x? 3,71
> (3,0) 5 (1,0)
~pedertac
® x 41 edx?2 0 X? 24H
¥ (yr here) = xt 78M -4 0
(PAO 0 X2erd-0 Bn)
5) > =)
@| CUY= dx 6 4S
(@ 2) @lx)= cl) b) P(x) = @lx) -clx)
Dy DADA = Koc 400 (x) = (-dx*+ 40x) - (0x4 lary)
O> A= [boy + KD Ply 3 + boy — 1450
XK tye pire Vn? =, = 2 =e. 0 wate
stk Kot (-1u0)™ 4(a (14% Mey Prapit
>) P (4a) =-D(4i) *4 Holy - is0
1b0+ [vo
5 SE. [ere]
2
(| glx) * x bx-2) ® an b-de x?
amein drromined or ¥D x 44
Xbe-3) 40 toy yz dee]
\xas xea_\
3 a Kh
0
$lx)* In(e ) ~ Sx -Inée) + Inly) @ Prot * ale nay |
HLx)= Dx Inle) Sx -[alt) + Indi)
ons
LY) > Dxl\) -Sx -| +O Pint > ID, ov =
kX) + Ix =| “(ner ye
Pmt = \1Gd. 08
then
/
—
Thr tar Leet Mer
Haigh Wright Wr wr 3)
Theme | et 0 Seto 7) Thir gtor leet gese = grouth
S 61 So cr 40
males) |e) (ees). a)
Mere WH be (at ss 47 bo ur sy ls
Chae
(>3\fa31 loo
Co lsas): fers )es
orvsety uy eo \
ws we
AND =) Se Yry 4rt
Davee eis!
aol (>> \ oe
paar}. (ee) 4
“lr ttAe rvs oo\
By 3x3
ac(2£) atsgacme lr 3): $3 F)-/R 9)
e it 4x, * 3
dy, +, 7 6
Arb a: (2 1) , x7 Ab .
. Nie) ( | A’ csiey - (4 (3 1 ') (x) : ( 4) °)
A+ y(4.3 2b 3h
atl a) (S)-(2)
Let xt © hildrtn drclute
4" * adelt hekete
SAT- | Cun,
ke (80 | j Ky? 120
bx+ ly \Sbo bx y+ lo
Salve t Sol vel,
7 Glyes > Wr) > oby “yao
K+ (aye \Sb0 bx \ay* sho
by 4e0
Va? god \
~Ulyay = Y28) 7 -byehye Meo
Qt lye 40 bye lage tito
by=4ar
[)
Qu
> xe y* 16°
——
xe (o~ |
S|
yeye fv
xe O= Po
yee
E—