BMCC FALL 2023 DEPARTMENT OF MATHEMATICS MAT 301 MAPLE LAB PROJECT 3 Due Date: 11/17/23 at 11:59 pm Prof: Elve 11/03/23 Name: Problem 1 Let f(x) = 4x3 - 5x a) Find the critical numbers b) Find the open intervallover which the graph of f is increasing, decreasing or neither c) Confirm your results in a), b), graphically Problem 2 Let g(x) = x2 - 5x + 10 a) Find the equation of the tangent line to the curve of g at x = 2. b) Sketch the graphs of g and the tangent line in the same Cartesian Plane and confirm your results graphically