This is in Calculus. Provide clean and clear handwritten complete solutions. Minimize erasures and provide a clear picture of the solutions thank you and Godbless.

Solve each of the following problems. Round-off final answers to at least two decimal places. 1. (15 points) Determine the (a) critical points and (b) points of inflection of the curve y = (x- -4)(x- 1) . (c) Sketch. 2. (15 points) Supposed the slope of the tangent line to the curve y = ax + by + ex at its point of inflection (1,-4) is determine the values of a, b, and c