Use Newton's method to approximate the given number, correct to eight decimal places: {image} 2.15982999 2.15983000 2.15983002 2.15983001 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
The following algorithm enables a computer to find reciprocals without actually dividing: {image} (You can derive it by apply Newton's method to the equation {image} .) Use this algorithm to compute {image} , correct to seven decimal places. 0.7169483 0.7169487 0.7169490 0.7169485 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
A grain silo consists of a cylindrical main section, with height 25 ft, and a hemispherical roof. In order to achieve a total volume of 23,000 {image} (including the part inside the roof section), what would the radius of the silo have to be? Find the result and round to four decimal places. r = 14.5234 ft r = 15.5805 ft r = 14.5283 ft r = 20.0970 ft 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50