The circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Circulation time, T, is measured in seconds and body mass, m, is measured in kilograms. (a) If the proportionality constant is 17.6, write a formula for the circulation time of a mammal. Use a lower case m. T ( m ) = 17.6m ( # ) (b) The body mass of a growing child is 44 kg and is increasing at a rate of 0.2 kg/month. What is the rate of change of the circulation time of the child? Round your answer to 3 decimal places. sec/monthIf 0 is the angle between a line through the origin and the positive x-axis then the area (cm2) of part of a rose petal (a particular curve written in polar coordinates) is given by A = - (40 - sin(40)) . If the angle 0 is increasing at a rate of 10 radians per minute, at what rate is the area changing when 0 is - radians? Give an exact answer. 12 ---units---Sand falls from a hopper at a rate of 0.3 cubic meters per hour and forms a conical pile beneath. Suppose the radius of the cone is always half the height of the cone. (a) Find the rate at which the radius of the cone increases when the radius is 2 meters. Give an exact answer. meters per hour X (b) Find the rate at which the height of the cone increases when the radius is 2 meters. Give an exact answer. meters per hour hs XA spherical snowball is melting. If its volume is decreasing by 270# cubic centimeters per hour when the radius is 15 cm, how fast is the radius decreasing at that time? Give an exact answer. cm/hr