1. Consider the data below for a car tire with a leak: (K) Minutes after the leak began 0 5 10 15 20 25 30 Pressure of air in the tire in kilopascals (kPa) 400 335 295 255 225 195 170 a) Calculate the average rate of change over the 30 minute interval. Explain the meaning of this rate using proper units. b) Estimate the instantaneous rate of change at 5 minutes using a surrounding interval.2. The following graph represents the escape of a rodent that was frightened by a hawk flying by. Describe the motion of the rodent as shown on the graph. (TI) 12 Distance (in) (12,10) a) What is the average speed of the rodent over the intervals in the graph? (20,10) (4,8) [0,4] [4,12] [4,20] 22 Time (3) + b) Estimate how fast the rodent was moving at the 2 second mark (Specifically at that instant) Use an average of 2 secant lines. 3. Use the data below for the temperature in degrees Celsius for a wood fire oven. (App) Time in Minutes 0 5 8 10 13 15 19 21 25 Temp (C) 25 120 205 250 290 280 290 285 285 a) find the average rate of change of the temperature between 0 and 25 minutes. Show proper units and notation. b) Estimate the instantaneous rate of change of the temperature at 10 minutes. Use 2 methods.4. Find the equation of the derivative for the following function. Also, find the instantaneous rate of change for the function when x=-2 and x=3. (K) a)f (x) = 4x - 1 5. Use the graph to find the following limits. (K) a) lim f (x) x-+00 - 16_-12 8_ _4 0! _ _48_ _12 1632 -41 b) lim f (x) X- -00 8 f( x ) -2x2 + 8x - 4 c) lim f (x) x-0+ d) lim f (x) X-0- e) limf (x)6. Evaluate each limit if it exists. (App) -x2+8x 3x2+5x-2 a) limx-3 2x+1 b) limx--2 2_2x-8 7, Describe the relationship between tangent lines, secant lines, instantaneous rate of change and average rate of change. (TI)