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a) Show that Young's Theorem holds for the following function: f(x, y) = 9ye²xy. |

a) Show that Young's Theorem holds for the following function: f(x, y) = 9ye²xy. |

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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 Answer the following questions:
a)    Show that Young’s Theorem holds for the following function: ƒ(?, ?) = 9??2??. 
b) Let ?(?, ?, ?) = ?2 + ?? + ?2, where ? (?, ?) = ?2 + ?2 , ? (?, ?) = ?2 − ?2 and ? (?, ?) =
?. ?. Find the partial derivative 6? =?
6?
c)    The foreign demand for our exports X depends on the foreign income Yf and our price level P:
1
 
X = ?2 + ?−2. Find the partial elasticity of foreign demand for our exports with respect to our price level. 
d)    If production function is ?? = ?(?) ??????, where ?(?) is an increasing function of ?, and
?? = ?0 + ??, and ?? = ?0 + ??. Find the rate of change of output with respect to time?

2- Answer the following questions: a) Show that Young's Theorem holds for the following function: f(x, y) = 9ye²xy. | b) Let z(x, y, w) = x² + wy +w², where w (r, s) = r² + s²₂ x (r,s) = r² — s² and y (r, s) = r. s. Find the partial derivative 6 =? 6s c) The foreign demand for our exports X depends on the foreign income X and our price level P: 1 X = Y + P-². Find the partial elasticity of foreign demand for our exports with respect to que price level. d) If production function is Q₁ = A(t) K³L, where A(t) is an increasing function of t, and K₁= Ko + at, and L. Lo + bt. Find the rate of change of output with respect to time? = www wwwww.w intim um momw
Transcribed Image Text:2- Answer the following questions: a) Show that Young's Theorem holds for the following function: f(x, y) = 9ye²xy. | b) Let z(x, y, w) = x² + wy +w², where w (r, s) = r² + s²₂ x (r,s) = r² — s² and y (r, s) = r. s. Find the partial derivative 6 =? 6s c) The foreign demand for our exports X depends on the foreign income X and our price level P: 1 X = Y + P-². Find the partial elasticity of foreign demand for our exports with respect to que price level. d) If production function is Q₁ = A(t) K³L, where A(t) is an increasing function of t, and K₁= Ko + at, and L. Lo + bt. Find the rate of change of output with respect to time? = www wwwww.w intim um momw
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