Calculus optimization problems 2
1. determine tha area of the largest rectangle that can be inscribed in a right triangle if the legs adjenct to the right angles are 5 cm and 12 cm long. teh two sides of the rectangle lie along the legs.
2 A cylindrical shaped tin can must have a Vol = 1000 cm3 .determine the dimensions that require the minimum ammount of tin for the can. According to the marketing department the smallest can that the market will accept has a diameter of 6 cm and a height of 4 cm.
b. express your answer for part 1 as a ratio of height to diameter. Does this ratio meet the requirements outline by marketing depart.
