1.

The function at) = 1 + Em + 513$ 1 has one local minimum and one local maximum. This function has a local maximum at I = A microwayeable cup-of-soup package needs to be constructed in the shape of cylinder to hold 150 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top 1will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: 11: height of cylinder, r: radius of cylinder 1ll'olume of a cylinder: V = 'J'T'rzh Area of the sides: A = 217?}: Area of the topfbottom: A = W2 To minimize the cost of the package: Radius: I I cm Height: I I cm Minimum cost: I I cents Given the function below at} = #24533 + 93 Find the equation of the tangent line to the graph of the function at :1: = 1. Answer in ma: + :5 form. LIL-1:} = I I Use the tangent line to approximate flill}. L|[1.1} = | | Compute the actual value of ll]. What is the error between the function value and the linear approximation? Answer as a positive value only; |error| m I {Approximate to at leost 5 decimal places.)