(a) The volume of a growing spherical cell is V 4 3r 3 , where the radius r is measured in micrometers (1 m 1026 m). Find the average rate of change of V with respect to r when r changes from (i) 5 to 8 m (ii) 5 to 6 m (iii) 5 to 5.1 m (b) Find the instantaneous rate of change of V with respect to r when r 5 m. (c) Show that the rate of change of the volume of a sphere with respect to its radius is equal to its surface area. Explain geometrically why this result is true. Argue by analogy with Exercise 13(c).

Class Notes March 15 2016 th DEVIANCE PT 1 1. DEFINING DEVIANCE AND DEFINING PROBLEMS THE ACTUAL DEFINITION OF DEVIANCE: SOMETHING SOME ONE IS OR DOES THAT GOES AGAINST SOCIAL NORMS AND IS NEGATIVELY LOOKED UPON BY THE MAJORITY OF PEOPLE A. SOMETIMES, PEOPLE CONFUSE SOMETHING THAT HAS STATISTICAL SIGNIFICANCE WITH SOMETHING THAT’S DEVIANT. EVEN THOUGH SOMETHING COULD BE HIGHLY UNLIKELY OR UNUSUAL, IT’S NOT ALWAYS DEVIANT. i. EX: THE PRESIDENCY; NOT NEGATIVELY LOOKED UPON EVEN THOUGH ONLY A MINUTE PROPORTION OF THE POPULATION HAS EVEN COME CLOSE TO OCCUPYING SUCH A POSITION. ii. WITHIN A POPULATION, A 20-30% OCCURANCE RATE COULD BE STATISTICALLY SIGNIFICANT. 10% OF THE POPULATION IS LEFT HANDED, BUT THIS DOESN’T MAK