O Assignments - 2024 Spring Term X Bb 183848216 X + https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/61aab133e7df2/183848216?X-Blackboard-$3-Bucket=learn-us-east-1-prod-fleet01-xythos... Draw Q | |A at | Ask Copilot + | 1 of1 1 2| ECO 3410 Fundamental Methods of Mathematical Economics Problem Set 09 Due:-05/13/2024 Problem 1:Find the relative extreme of the following functions (Check whether they are relative maxima or Minima or neither of them) by both methods (Method 1:-first order derivative test method and Method 2:-Second order derivative).No credit for attempting just one method. (i) y=-2x2 + 8x + 7 (ii) y=5x2 - r (iii) y=3x2 + 3 (iv) y=3X2 + 3 (v) y=3X2 - 6X + 2 (vi) y=-2X2 + 8X + 25 (vii) y=X3 - 3X2 + 5X + 3 (vili) y=x3 + 6x2 + 9 Problem 2:Find the first through the fifth derivatives of the function (i) y=10x4 +x3-19x2-3x+100 (ii) y=9x3-19:2+8x-10 (iii) y=7x6-6x3-2 (iv) y=5x5-4x4+3x3+2X24x+1 Problem 3:Let the Revenue function be TR = 10Q - 5Q2 and Cost function be TC = 2Q3- 21Q2 + 14Q + 400. Derive the profit function and find the profit maximizing output (Q). Problem 4:Find the Stationary values of the following functions and determine by N-th derivative test whether they represent relative relative maxima or Minima or inflection point). (i) y= 9x3 (ii) y=(X-2)3 + 17 (iii) y=(3-x)6 +8 (iv) y=(x-2)4 (v) y=(5-3x)* +4 49"F Cloudy Q Search hp " 144 "ort sc delete home @