Please answer all of the questions and please show all of your work so it is easy to understand. (Also when i put "/" it means it is a fraction) 1) Carbon-14 is a radioactive form of carbon that is found in all living plants and animals. After a plant or animal dies, the carbon-14 disintegrates. Scientists determine the age of the remains by comparing its carbon-14 with the amount found in living plants and animals. The amount of carbon-14 present after t years is given by the exponential equation A (t) = A₀e^kt, with k= -In2/6250. Find: 1. the half-life of carbon-14. 2) A fish in the Bering Sea known as the threaded sculpin has been found to grow according to a limited growth function called a von Bertalanffy growth curve. The length of a male sculpin (in mm) is approximated by L (t) = 171.8 (1 - e^{-0.41(t+0.09)}), where t is the age of the fish in years. Find: 1. the length of the fish as t gets larger and larger. 3) Yeast in a sugar solution is growing at a rate such that 2 g becomes 2.6 g after 22 hours. 1. Find the growth function, assuming exponential growth. 2. Based on part 1, find the number of grams of yeast present after 50 hours.