Find the maximum and minimum values attained by the function f along the path c(t). f(x, y) = xy; c(t) = (cos(t), sin(t)); 0 ≤ t ≤ 2π maximum value minimum value. f(x, y) = x2 + y2; c(t) = (cos(t), 4 sin(t)); 0 ≤ t ≤ 2π maximum value minimum value.

Find the maximum and minimum values attained by the function f along t

1.	Find the maximum and minimum values attained by the function f along the path c(t). f(x, y) = xy; c(t) = (cos(t), sin(t)); 0 ≤ t ≤ 2π maximum value minimum value. f(x, y) = x2 + y2; c(t) = (cos(t), 4 sin(t)); 0 ≤ t ≤ 2π maximum value minimum value.
Answer» Find the maximum and minimum values attained by the function f along the path c(t). Solution: