-y-x4-y₁ #21 Given f(y)= (a) Find the direction in which f(cy) decreases most rapidly at P. (0,0), as well as the rate of change of fat Po (b) Find and classify all crit. points of f (c) Find the abs, minimum and abs.f maximum of f(x, y) on the triangle with vertices (0,0), (1,2) and (-1,2). Note 6x24x³-2=-2(x-1) (2x+1), -6x=4x+2=-2(x+1)(2x-1) and shade

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Question
-y-x4-y₁
#21 Given f(y)=
(a) Find the direction in which f(cy)
decreases most rapidly at P. (0,0),
as well as the rate of change of fat Po
(b) Find and classify all crit. points of f
(c) Find the abs, minimum and abs.f
maximum of f(x, y) on the triangle
with vertices (0,0), (1,2) and (-1,2). Note
6x24x³-2=-2(x-1) (2x+1), -6x=4x+2=-2(x+1)(2x-1)
and shade
Transcribed Image Text:-y-x4-y₁ #21 Given f(y)= (a) Find the direction in which f(cy) decreases most rapidly at P. (0,0), as well as the rate of change of fat Po (b) Find and classify all crit. points of f (c) Find the abs, minimum and abs.f maximum of f(x, y) on the triangle with vertices (0,0), (1,2) and (-1,2). Note 6x24x³-2=-2(x-1) (2x+1), -6x=4x+2=-2(x+1)(2x-1) and shade
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