Question: 1. An unevenly heated plate has temperature T (x, y) in °C at the point (x, y). If T (2, 1) = 135, and Tx(2, 1) = 16, and Ty(2, 1) = -15, estimate the temperature at the point (2.04, 0.97).
2. A right circular cylinder has a radius of 50 cm and a height of 100 cm. Use differentials to estimate the change in volume of the cylinder if its height and radius are both increased by 1 cm.