5. Find the total differential given: f(x, y) = 4x - y 5x + 4y x = 0, y = 1, dx = 0.01, dy = 0.03 Page 6 of 8 6. a) Approximate 8.01+14.97 using the total differential. b) Approximate 1.03 In 1.02 using the total differential Page 7 of 8 1. The temperature of a bird in flight is given by: T(x, y, z) = 0.0x + 1.4xy + 95z2 Use the differential dT to approximate the change in temperature when head wind x increases from 1 meter/second to 2 meters/second, the bird's heart rate y increases from 50 beats/minute to 55 beats per minute and flapping rate z increases from 3 flaps per second to 4 flaps per second Page 8 of 8