Math Review - = 3 x 2 3 4. Find the partial derivatives...

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ECO 3301 Fall 2010 Math Review 1. Plot the following linear curves in the x-y plane, with x on the horizontal axis, and y on the vertical axis . Clearly, show the y-intercept and the x-intercept.Find the slope (using calculus and otherwise: y=mx+c) (a) x = 120 - y. (b) y = 10 - 4x (c) y = 5 (d) 3x + 2y = -9 (e) 5x - 3y = 4 2. Plot the following demand and supply equations. Find the equilibrium, graphically and using algebra. (a) DD: p = 10 -2q; SS: p = 2+3q (b) Q D S = 15,000 + 212.5P 3. Find the derivatives ( dy dx ) of the following functions: (a) y = 5 (b) y = 5 x 2 (c) y = 13 x (d) y = 253 x 4 (e) y
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Unformatted text preview: = 3 x 2 3 4. Find the partial derivatives (for each of the factors) in each function: (a) y = 5 K + 2 L ( @y @K and @y @L ) (b) U = 20 X : 5 Y : 5 ( @U @X and @U @Y ) (c) U = 2 X 2 Y ( @U @X and @U @Y ) (d) y = xz & @y @x and @y @z (e) U = min f x;y g ( @U @x and @U @y ) (f) Q C = 200 + 5 P C + 20 I @Q C @P C and @Q C @I (g) C ( q ) = 200 q 2 + 300 ; 000 @C @q (h) C ( q ) = 0 : 0025 q 2 + 80 q + 10 ; 000 @C @q (i) Q D = 200 & 2 : 5 P D + 5 P R @Q D @P D and @Q D @P R (j) U = 2 C & @U @C 1...
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This note was uploaded on 09/23/2010 for the course ECO 3301 taught by Professor Mananroy during the Spring '10 term at Southern Methodist.

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