Please explain and show working. question 4 and 5 ASAP please

(6 pts) Use Newton's method with initial approximation r] = -1 to find the second approximation zz to the solution to the equation 13 =x-1 f le ) = * - #+ 1, the 1 ) = = 1+1-1= -1 f' Ge, ) = 3 (- 172 - 1 = 2 5. (10 pts) A company manufactures cylindrical barrels to store nuclear waste. The top and bottom of the barrels are to be made with material that costs $10 per square foot and the rest is made with material that costs $8 per square foot. If each barrel is to hold 5 cubic feet, find the dimensions of the barrel that will minimize the total cost. (For a cylinder with radius r and height h, Surface area S = 272 + 27Th and Volume V = TT2h.)