5. Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius R. Sec 3.8 6. Complete two iterations of Newton's Method for f(x) =2x2 -3 using x1 = 1. Sec 3.9 Find dy for: 7. y=19-x2. 8. y = xsinx. 9. The measurement of the edge of a cube is found to be 12 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible error in computing: (a) the volume of the cube. (b) the surface area of the cube.Name: Sec 3.6 sketch the following functions. Label intercepts, extrema, inflections, and asymptotes: 1. A( x ) = * +1 x2 - 9 2. f(x) = 7 X 2 - 4 Sec 3.7 3. A rancher has 600 m of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum? 4* = 606 - 3 12 180 X X X = 40 - 3 4 * . 3 x = 40 - 4 y. MY = 20 A = 2 ( 40 - 4 5 ) X A = 80g - 2 32 Al g ) = 80- 3 U = 80 - 3 maximum 180 aren are 20 by 3 m 80 2 = 3 4. A business card is to contain 32 square cm of print. The margins on each side are to be 1 cm and the margins top and bottom are to be 2 cm. Find the dimensions of the card so that the least material is used