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E L-LOVELY-H math7-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
Tanima Dutta, Lovely Professional University fJekJh^7 L ;wo{g cbB ns/ :{bo; gqw/:
fJekJh^7L ;wo{g cbB ns/ :{bo; gqw/: B'N
(Homogeneous Function and Euler’s Theorem)
ftP/ t;s{ (Contents)
T[d/P (Objectives)
gq;sktBk (Introduction)
7H1 ;wo{g cbBL gfoGkPk (Homogeneous Function: Definition)
7H2 :{bo; gqw/: (Euler’s Theorem)
7H3 e'p^v'rb; T[sgkdB cbB (Cobb-Douglas Production Function)
7H4 ;hHJhHn?;H (;fEo gqfs;EkgB b'u) T[sgkdB cbB (The C.E.S. Production Function)
7H5 ;koKP (Summary)
7H6 Ppde'P (Keywords)
7H7 nfGnk; gqPB (Review Questions)
7H8 ;zdoG g[;seK (Further Readings)
T[d/P (Objectives)
fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L
• ;wo{g cbB dh gfoGkPk ikDB ftZu.
• :{bo; gqw/: B{z GbhGKs ;wMD bJh.
• e'p^v'rb; T[sgkdB cbB dh ikDekoh bJh.
• ;hHJhH;hH (;fEo gqfs;EkgB b'u) T[sgkdB cbB s'A ikD{ j'D bJh.
gq;sktBk (Introduction)
fJZe ftP/P gqeko d/ cbB fijV/ finkdkso gq:'r j[zd/ jB, ;wo{g cbB ejkT[Ad/ jB.
:{bo; gqw/: dZ;dh j? fe id'A ;ko/ T[sgZsh d/ ;kXB fJZe fdZs/ j'J/ nB[gks ftZu tXkJ/ iKd/ jB
sK Bshi/ ti'A T[sgkdB th T[;h nB[gks ftZu tZX ikJ/rk.
:{bo; gqw/: dk nkofEe y/so ftZu ftP/P eoe/ tzv/ rJ/ y/so ftZu ftP/P wjZstg{oD ;EkB j?.
T[sgkdB ftfGzB ;kXBK d/ ;z:[es ;zi'r d[nkok j[zdk j?.
e'p^v'rb; T[sgkdB cbB dk nkofEe y/so ftZu wjZstg{oD ;EkB j?. toswkB ftZu
noEPk;soh e'p^v'rb; T[sgkdB cbB dk ftfGzB nkofEe y/soK ftZu gq:'r eoB bZr rJ/ jB.
7H1 ;wo{g cbB L gfoGkPk (Homogeneous Function: Definition)
noEPk;so ftZu finkdkso gq:'r j'D tkb/ fJZe ftP/P soQK d/ cbB B{z ;wo{g cbB efjzd/ jB.
T[dkjoD ti'A,
2
2
f (x, y) = x – y
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