Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x²-16x + 2y - 18 (i) Find the sum of all x- coordinates of the critical points of f(x,y). (ii) Find the sum of all y- coordinates of the critical points of f(x,y). Enter answer of part (i) in Blank # 1 and Enter answer of part (ii) in Blank # 2. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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Let f(x,y) = 4(x + 1)2²(y - 1) - y² - 8x² - 16x + 2y - 18
(i) Find the sum of all x- coordinates of the critical points of f(x,y).
(ii) Find the sum of all y- coordinates of the critical points of f(x,y).
Enter answer of part (i) in Blank # 1 and Enter answer of part (ii) in Blank # 2.
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
No spaces please.
Blank # 1
Blank # 2
Transcribed Image Text:Let f(x,y) = 4(x + 1)2²(y - 1) - y² - 8x² - 16x + 2y - 18 (i) Find the sum of all x- coordinates of the critical points of f(x,y). (ii) Find the sum of all y- coordinates of the critical points of f(x,y). Enter answer of part (i) in Blank # 1 and Enter answer of part (ii) in Blank # 2. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please. Blank # 1 Blank # 2
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