biomatematika 1 parciális deriváltak 1 · dpd dp=? v=1m3 t: 273 k-274k...
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Biomatematika 1Parciális deriváltak 1
Dr. Bugyi Beata - 2018. 10. 09.
1 VA ' Ltozds FV f ( x )
KOALAµ ( a) = of
TF1 ←V on
'ltoza 's a' nah mette 'Re
ATL da ?→ DV → DERNA ' Usb- p
a
a - nak uelgtelen his vaktoza 's a
dV(a)-= ( a 3)
'
=3 of ( ×" )
'en . x
" "
da
DVC a) = 3 at da TELFES DIFFERENCE 't
I-
Vz azI INTEGRA'
Us 's
§,
duca ) = fba ' da
Ae
2 valuate 's FV fl X, y )
HE NEERv ( rib ) = Tv
" he fcx , y )=2 - x ?yO
ht / dr is DV
dh ?→ du→ DERIVING
p"
OSSZETEIT"
,,EGYSIERU
"
BB"
Mit ismeriink ?
adr= vahtozo
' h=A'ubNDb ( Im ) he
V ( nih ) - Trib Is hIT2r OVCrih )- - PA KUDUS
2 r the( RIESZ VEGES )
r -_ At WANDO'
( Am ) h=VAktozoV Crib ) DERNA '
4-Vcr ,
he )=IrZh Itv2 #-),
dV( wth )=hT2rdr t ITV2 dh TELFES DIFFERENUAK- -
rmiatti he mialti
valltoza 's ooiltoza 's
PARUAIUS DERNA "LT ( RESZLEG.ES )
fcx , Yet )2 fcxifiz )1- X #shtozd
-
Y,
2- = DUAN Do' (
d X. )y,z
↳ y =vahtozoofcxiyiz)
x ,z= A UANDO' ( Ty )x,z
↳ z = vahtozo Ofcxiyiz)Y
,X -
- A' LLAN pot (F) yix
dffxiyiz ) -18×1)yµdxt¥)×,zdyt¥f¥ydZTELFES DIFFERENCIA 't
Pl :
fcx , y ) = 3×2 it xujt.ly-
↳
←¥"H)y=6xtry to
y ,= 4 3x
"
t x . 4 t (4)2
→
6xt4t0Ls@oEtJx.otxtry
X = 4 3. (4)"
t 4 y t y'
→ 0 t 4 t 2g
TERM DINAMIKA
IDEA 'Ll s GAZ n=1 uuol
pV=rniRT R - 8.31 ( Haulk )- ⇐I
'= - i. x' =
IV ,T
= -1-
pvalltoza 's ahah mette 'Re ye
a , per ) -netc
ftp.e-nrtff-a/---nvrI-12
2, pet ) = TITO ( ffs)jTIi
- TI-
146
dpc Vi )=MRT
( x ) ! y
- - dvt YI DT TELFESDIFFERENCIA 't✓ 2
- -
Op Op⇐ It lot Iv
net moledp = ? V : Am ' -22ms dV=1m3 T= 273k
R = 8:34t.tn#.kT=273k dirt dp = - nYdV= - 1ms,
✓ = t.ms ( 1ms )2= - 2268 .
63 Pa
dpd
dp= ? V=1m3 T : 273 K - 274k
dt-tkdttdp-Y-dt-EHnolk-ek.im's
= t 8.31 Pa
dpt
dip = ? V : Am '→ 2ms dV= 1ms T : 2.73K → 274k dt= 1k
dip = -ERI du t
HI AT =- 2268.63Pa t 8.31 Pa
✓ 2 ✓
LAt SD Eton and Mounds
BELSO"
ENERGIA,
MINT TELFES DIFFERED CIA 't
d U = d. Q - dry 1 THT # TEL Eivind PIA ds = # → dp=TdS
MUN KA dw =p DV
dy = Tds - pd TEVES DIFF.
u s v
MCs ,V ) → du = (%-) v
dst DV TEVES DIFF.
-
Dee( £1 = T
ou( Tv ),
= - p
D= VAHID'S 100 Kes INTERVAL UM
ENTALPIA Mutassuk neg L hogg P = a' U. It = do ,
& too
THEUtpv ( f . + g)'
= f 't gldp - O
DH = city t dCp¥)z
C f. g)'
e ft g tf g'
IF "otETEvdm = @t dip - V t P' DV
I due da - dw
du = da
-pd/VtdYpVtp¢Vd@=da - pdv
Odm = da
=
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