Summary
Summary MAT1512 - Calculus A (MAT1512) - Chapter 2 + 3
- Institution
- University Of South Africa (Unisa)
Summarizing Limits and The Introduction to Derivatives in relation to Calculus A MAT1512.
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MATIS12
CHAPTER 1:FUNCTINS
Funktens 4 Modely +MODELS
1 t NA ) to rePIent a funcfien
uncticns use whenover one uantnty olesends on andther
t aTa A' 0f trcle derends on the radruj "of the tirde
h e rule that ecn nects 'r GndA' S 4ivon b9 the e Yüah¢n Ar
W0ach PO numbtr 'r there s a assocated one value of A
+ y tha 'A' 1 a funchen of 'r
ZihE hunan eepulalun of the werld 'P" derendt tn time "t'
Nd Rrulainon P(t) k hme "t [e91P(1960) 2560 000 008
bu fer each valuo of the time there is a cerreodurg
a t of P
We
say That P is a
fucton of
t h e st C of maiung an ehwelepe dePendy on t wesht 'N
althougn inere Is ne fermula that onnects Cnd W
t h e oi otiick will raA ule or deketmining C nhen
WI Lnown ( 01:R5/k9)
4 Hhe VertitalAceeleraHen 'o of tne hound a MEQUured
StsmGGIGPn durung an arih 9uake a funthon
of thf Clapsed ime t
ftr Iven yalug 0 t; 4 9ra¢h will PreVide cerTeSPCVdung
(gach thtit grampivs deCrsbes a rule whweby,
of
wtn AMumbw ,t,w or L), andiker number (A.P,C era)
ISASIgred In tach taj We s0 thal the seccrd numbe
Afunchicn ot the Fst)
, Fungrien "f" I rule that gs1gns to uch
D Xacty One (1)
CIerneri, Called faY, In a 1et"E
USualy ecngidor functiony fr which he 4isD Gunod E
e ts @f real numbers.
Ddoman o tha furutitn
f(x) the value of (reool :fof z)
range of f the sel of allpateitr passible_values
of flx) aj x variej thruout the dcmaun
AdEPUAt VOXiabi aJgmbel that represents an arb
Lndeperndent
nwnber the dcrmaun ofa funcfionf
dependent yaiuoP a JYmbel that represents t e a nuumhek
Unthe Vange of f:
1n erampi 1 t = luderendent t dep endent var 1ub1e
think my of_a funerion as machne S
a
if a is tht dcmaun OF funchen f * enters he
Machin x S s accePred au input prodluces an
outpu Lfx)) accovOung to the rulei of the fungtons
.we Can thunt of the domaun the Jet of au
POSible_unputs and the range us the Jt of au
PO6Snbl eutputs
rCN oucgram
each aurcw connects an eLumint D to an elment
of E
the aircw jndicoles that f()associakecd with x,
a) wim a d. so on
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