Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. (If an answer is undefined, enter UNDEFINED.) for) = (x3 2)_1, (2, %) Consider the following. Function Point for) = \\y'zx2 9, (3, 3) (a) Find an equation of the tangent line to the graph of the function at the given point. (Let X be the independent variable and y be the dependent variable.) X Consider the following. Function Point f(x) = sin(8x}, (x. 0) (a) Find an equation of the tangent line to the graph of the function at the given point. (Let X be the independent variable and y be the dependent variable.) The number N of bacteria in a culture after t days is modeled by the following. (Round your answers to one decimal place.) 4 N=3OD 1. [ (94.39] (a) Find the rate of change of N with respect to t when t = 0. Z] X bacteria/day (b) Find the rate of change of N with respect to if when t = 1. :i x bacteria/day (c) Find the rate of change of N with respect to t when t = 2. :i x bacteria/day (d) Find the rate of change of N with respect to t when t = 3. Z] X bacteria/day (e) Find the rate of change of N with respect to if when t = 4. C] X bacteria/day