1) A culture of cells is placed in a petri dish and is allowed to grow. The population of cells is given by the function P(t) = for t≥ 0 days. 1500 1+6e-0.02t, a) What is the average growth rate during the first 10 days? Show clear set-up before using your calculator/Desmos. Round answer to the nearest hundredths (to two decimal places). Include units in your answer. b) Give an expression involving limits for the population growth rate (how fast the population is growing) on the 10th day. Then use this expression to NUMERICALLY APPROXIMATE the population growth rate on the 10th day. Make a table of values to support your approximation of this growth rate. Make sure your table of values has clear headings so that the reader knows what the values in each column of your table represent and make sure you have sufficient numbers in your table to support your conclusion.