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Asked Nov 9, 2019

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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) = x^{2} + y^{2}; c(t) = (cos(t), 8 sin(t)); 0 ≤ t ≤ 2π

maximum value __________

minimum value __________

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