8.) Use the formal definition of a limit ( ...... ) to show that lim (4x + 1) =13 9.) Find the volume of the solid of revolution generated with the region bounded by y= x', y= 8 and x =0 is revolved about the y-axis. 4 = 8 5 y = x 3 1 X= 0 10.) Find the area of the region bounded the curves y= Vx+2 and y= x +1 from x = 0 to X = 2. > 1 1.) Using a Riemann Sum and the sigma notation formulas (provided), find the exact area under the curve f(x) = x +2x -5 from x = 1 to x = 4. Ci n(n + 1) EP= n(n + 1)(2n +1) 6 12.) Find the equation of the tangent line to the graph of 2x -x y+ y -1=0 at the point P(2,-3). y =| 3x2 - 7 13.) Find the derivative: a.) 2x 2 + 7 b.) y = In(sin.x) .(tan 'x) 14.) Use f'(x) and f"(x) to find all of the following for the function f(x) =5-6x' -2x' on the interval [-3,2] : critical points; where f(x) is increasing/decreasing; where f(x) is concave up/concave down; relative max/min and absolute max/min values of the function; inflection points. Use this information to graph it