1)At time = 0, a diver jumps from a diving board that is 10 feet above the water. The position of the diver is given by s(t) = -10t²+ 10,s in feet, t in seconds. Give the expression for the instantaneous velocity of the diver at any point on her path, then find the velocity at .2 seconds.

2)Find the average rate of change of y with respect to x from P to Q. Then find the instantaneous rate of change of y (velocity) with respect to x at P. (x in seconds, y in meters) y = -2x²+ 1, P(-2, -7), Q(-2.1, -7.82)

3)

Determine the following limit from the table below:limx9f(x)

x	8.9	8.99	8.999	8.9999	8.99999
f(x)	-0.02	-0.007	-0.0002	-0.00007	-0.000002

4)imxcf(x)exists,f(c)isdefined,limxcf(x)=f(c)

then which of the following must be true?

f(x) is discontinuous at x = c

f(x) is continuous at x = c

f(x) has a removable discontinuity at x = c

f(x) = f(c)