Find the elasticity with respect to 9₂ of: h = (gỉ+2)3(g£ +3) where g₁0 and 92 > 0 The equation 4Ke¹ + 2K = LeK implicitly defines L as a differentiable function of K. Find an expression for dL/dK (assuming 4Ke¹ ‡ eK). Find the total differential dz of the following function, where x > 0 and y > 0: 2= x-y x+1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. (a) Find the elasticity with respect to 9₂ of:
h = (g² + 2)³(g² + 3)²
where 9₁> 0 and
92 > 0
(b) The equation 4Ke¹ + 2K = Le implicitly defines L as a differentiable function of K.
Find an expression for dL/dK (assuming 4Ke¹ ‡ eK).
(c) Find the total differential dz of the following function, where x > 0 and y > 0:
2 =
x - Y
x + 1
Transcribed Image Text:5. (a) Find the elasticity with respect to 9₂ of: h = (g² + 2)³(g² + 3)² where 9₁> 0 and 92 > 0 (b) The equation 4Ke¹ + 2K = Le implicitly defines L as a differentiable function of K. Find an expression for dL/dK (assuming 4Ke¹ ‡ eK). (c) Find the total differential dz of the following function, where x > 0 and y > 0: 2 = x - Y x + 1
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