1. Consider a fence whose base is the path with parametric equations |x(t) = cos³ t, |y(t) = sin³t, for 0 ≤ t ≤ Let the height of the fence be given by the function f(x, y) = 2x + 3y. Calculate the area of the fence.
1. Consider a fence whose base is the path with parametric equations |x(t) = cos³ t, |y(t) = sin³t, for 0 ≤ t ≤ Let the height of the fence be given by the function f(x, y) = 2x + 3y. Calculate the area of the fence.
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 33E
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