Name: MAT 2?1 Section: Problem Set BB: Differentials and Mean Value Theorem [3.10, 4.2} Directions: Answer each question below, showing all work as described in class. You must use correct notation. Part B of this Problem Set is worth 55 points. The remaining points for Problem Set 5 will be in Part A. 1. A certain container is in the shape of a culinder whose height is three times the radius. The radius is measured to be 1?.3 cm, with a maximum measurement error of 0.04 cm. {A} Use differentials to estimate the maximum error in the calculation of the surface area of the cylinder. Do not round until then very end; then round to three decimal places. {15 pts]