15) [6 pts] Find the radius and height of a cylindrical soda can with a volume of 354 cm3 that minimizes the surface areal the amount of material required to make the can]; the can must be designed to have double the thickness in the top and bottom surfaces than the thickness ofthe cylindrical sides. Radius cm Height cm 17) {+6 pts ) A meteoroid is heading towards earth at 100 miles/sec the path ofthe meteor has been modeled with the equation f(x) = 3x+ 28 where x is measured in thousands of miles and the center of the earth is at the origin. If the radius of the earth is approximately 4000 miles how close to the surface of the earth does the meteor come? Round your answer to the nearest mile. Does it collide into the earth ! Assume we are working in a plane region Answer : 2 lim 18)(6 pts ) Evaluate the limit: 3x be sure to show your use of L'Hopitals' rule