Please help with practice problems 1 and 2.

1.

Let f(u, v) = (tan(u 1) e\Suppose that a duck is swimming in the circle x = cos(8t), y = sin(81') and that the water temperature is given by the formula dT T = 2x2e5' 3xy4. Find , the rate of change in temperature the duck might feel. dt (Use symbolic notation and fractions where needed.) Word of caution: this problem is lengthy because of the number of terms. Be careful when entering your answer. \" dr