9x During the course of an illness, a patient's temperature (in degrees Fahrenheit) x hours after the start of the illness is given by T(x) = - 2 x + 3 (a) Find dT dx dT at the following times, and interpret your answers. dx (b)x=0 (c) x = 1 (d) x = 4 Evaluate (e) x=9 +98.6.

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

5% Calculate -1 g(x)dx = -2 f(x)dx = 6 f(x)de = 17 g(x) dx = -9 ²₁ (3 f(x) - 5g(x)) dx

g(x) 9 arccos- 7