Let y be the height of the coffee in the funnel at any given time, so that just before the dripping starts we have y = 3. Since the coffee is draining out of the funnel, dy dt will be negative. What (approximately) will be the value of y when dy dt is at its smallest (closest to zero)?

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)