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Programming Assignment 8- Chapter 5 ENGIN-136-3240 Due by 8:30 AM Monday Feb 26th. Please send a script file (*.m) via Canvas. Problem 1 The volume V and surface area A of a sphere of radius r are given by Plot V and A versus r in two subplots, for 0.1r axes that will result in straight-line graphs for both V and A. a. 100 m. Choose b. Plot V and r versus A in two subplots, for 1 A 104 m2. Choose axes that will result in straight-line graphs for both V and Problem 2 The half-life of a radioactive substance is the time it takes to decay by half. The half-life of carbon 14, which is used for dating previously living things, is 5500 years. When an organism dies, it stops accumulating carbon 14. The carbon 14 present at the time of death decays with time Let C(t)/C(0) be the fraction of carbon 14 remaining at time t. In radioactive carbon dating, scientists usually assume that the remaining fraction decays exponentially according to the following formula: C(0) Use the half-life of carbon 14 to find the value of the parameter b, and plot the function. If 90 percent of the original carbon 14 remains, estimate how long ago the organism died. Suppose our estimate of b is off by1 percent. How does this error affect the age estimate in b? a. b. c