## THIS USER ASKED 👇

**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), 4 sin(t)); 0 ≤ t ≤ 2π maximum value minimum value**

## THIS IS THE BEST ANSWER 👇

a) Therefore, the minimum value of the function f is -1/2.

Therefore, the maximum value of the function f is 1/2.

b) Therefore, the minimum value of the function f is 1.

Therefore, the maximum value of the function f is 16.

Step by step explanation:

We find the maximum and minimum values obtained by the function f along the path c