a) You are an engineering sales manager and are analyzing your sales data in your rapidly expanding communications company. After plotting the first six months of sales data after the product launch of your company's new model of cell phone, you find a curve that fits the data well: sales = 3 * month_since_launch^2. Your boss asks you to predict when you will hit 2000 total sales. Assuming that your sales continue to grow quadratically & fit the initial curve data, predict the number of months required to reach this milestone.

b) You are an engineering sales manager and are analyzing your sales data in your rapidly expanding communications company. After plotting the first six months of sales data after the product launch of your company's new model of cell phone, you find a curve that fits the data well: sales = 3 * month_since_launch^2. Assuming that your sales continue to grow quadratically & fit the initial curve data, predict the number of total sales that your company will have after the first 20 months. Hint: Use a for loop to determine the sum of the first 20 terms of the series 3*m^2.