1. Given y = 2^(x-3) determine the instantaneous rate of change using the difference quotient and h = 0.01 at x = 5. 2. Make up a radical equation in the form y = sqrt (x +/). K can be any positive or negative integer, except zero. Use first principles to determine the derivative (instantaneous rate of change) equation. 3. Determine the average rate of change for y = ax*2 + bx + cover the interval between x = 0 and x = 2. 4. True or false, with an explanation. A graph may be used as part of the explanation: a) If a function is continuous throughout its domain, then a tangent may be drawn at all points on the domain. b) A function may have a limit at x = a even though a co-ordinate does not exist at x = a c) The limit of y = 1/(x*2) does not exist because the left side limit does not equal the right side limit. 5. Set up the first principle definition of a derivative for y = sinx. Discuss why the first principles definition cannot be simplified using the methods learned in chapter one. for 4c, as x approaches zero