The number of daily sales of a product was found to be given by S = 800xe−x2 + 800 x days after the start of an advertising campaign for this product. (Round your answers to one decimal place.) (a) Find the average daily sales during the first 50 days of the campaign—that is, from  x = 0  to  x = 50. (b) If no new advertising campaign is begun, what is the average number of sales per day for the next 20 days (from  x = 50  to  x = 70)?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.