Find the maximum and minimum values attained by the function f along the path c(t). (a) f(x, y) = xy; c(t) = (cos(t), sin(t)); 0 ≤ t ≤ 2π         maximum value __________         minimum value  __________ (b) f(x, y) = x2 + y2; c(t) = (cos(t), 8 sin(t)); 0 ≤ t ≤ 2π         maximum value __________         minimum value  __________

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Find the maximum and minimum values attained by the function f along the path c(t).
(a) f(x, y) = xy; c(t) = (cos(t), sin(t)); 0 ≤ t ≤ 2π
        maximum value __________
        minimum value  __________
(b) f(x, y) = x2 + y2; c(t) = (cos(t), 8 sin(t)); 0 ≤ t ≤ 2π
        maximum value __________
        minimum value  __________
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Swokowski
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