II. Evaluate the limit of the following functions. 1. lim 7 x-3 X-+3 VX-2-V4-x 2. lim = (-7(49) 3. lim- Vx2-9 X-+3 x-3 4. lim - x-4 x-+4X2-x-12 5. lim x-6 X-+3x2-4x+3 III. Determine the slope of the following functions at a given point. 1. f (x) = , (0, 1) 2. f (x) = x3 + 1, (1,2) IV. Solve the following worded problems. 1. The radius of a right circular cylinder is given by vt + 2 and its height is = vt, where t is time in seconds and the dimensions are in inches. Find the instantaneous rate of change of the volume with respect to time. 2. A population of 500 bacteria is introduced into a culture and grows in number according to the equation P(t) = 500 (1+ so+tz) where t is measured in hours. Find the rate at which the population is growing when t = 2