:|_. 3. Find an equation of the tangent line at x: a I). Use a graphing utility to graph the curve and the tangent line on the same set of axes. y=x3-4x2+2x3:a=2 2. a. Find an equation of the tangent line at x= a. I]. Use a graphing utility to graph the curve and the tangent line on the same set of axes. y=24.a=16 3. Let f(x) = 2x3 9x2 24x + 5. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 144. she IsAn Find the equation of the line tangent to the given curve at x = a. Use a graphing utility to graph the curve and the tangent line on the same set of axes. 4x y= x- 3:a=5 . . . The equation for the tangent line is y = (Type an expression using x as the variable.)5. Consider the population function p(t) = 250t t+ 8 ' a. Find the instantaneous growth rate of the population for t a 0. b. What is the instantaneous growth rate at t= 5'? c. At what time is the instantaneous growth rate the greatest? :1. Evaluate and interpret lim p'(t). t>oo e. Use a graphing utility to graph the population and its growth rate for Osts 20. 1 . CONG Next question Use the table to the right to find the given derivative. X 5 AN f(x) N d f' (x) N - dy [ xf(x)] |x =4 . . . d dx (xf (x)] =(Simplify your answer.) 1 x = 4