I need help with these 3 calculus questions:

WeBWorK 3 - Topics 6 - 7: Problem 4 (1 point) Consider the equation 5:113 + 63: + 1 = 0. If Newton's method is applied to the equation with initial guess m1 = 2, then 1:2 2 and x, = I ll! 1 ll! Either enter exact values for 932 and $3, or report a minimum of 6 decimal places. Note: You can earn partial credit on this problem. WeBWorK 3 - Topics 6 - 7: Problem 5 (1 point) 1 5 Suppose a police officer is 1/2 mile south of an intersection, driving north towards the intersection at 50 mph. At the same time, another car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The officer's radar gun indicates 30 mph when pointed at the other car (that is, the straight-line distance between the officer and the other car is increasing at a rate of 30 mph). What is the speed of the other car? Speed = mph. I ll! Now suppose that the officer's radar gun indicates -30 mph instead (that is, the straight-line distance is decreasing at a rate of 30 mph). What is the speed of the other car this time? Speed = mph. I ll! Note: You can earn partial credit on this prob/em. WeBWorK 3 - Topics 6 - 7: Problem 6 (1 point) A water tank has the shape of an inverted circular cone with top radius 3m and height 5m. If water is being pumped into the tank at a rate of 2m3/min, find the rate at which the water level is rising when the water is 2m deep. E m/mz'n