Suppose that two motorboAts leare the same point at the same time. If one travels north at 15 miles per hour and the Other trovels east at 20 miles per hour, now fast will the dist ance between them be changing after z hours ? Draw a diagram nith clear Tabels then show Calculus and algebra work.

You will be graded on your written work as well as your answer. You and Austin start at the same place when a dinosaur attacks! At t = 0 hours, you run North at 3 miles/hour while Austin runs West at 9 miles/hour. At the bottom you will answer, "how fast is the distance between us changing at t = 0.5 hours?" In your written work: a) Draw a picture and clearly label the variables. b) What relationship should you use to help you? (some equation from geometry, using your picture and your variables.) Write the relationship using the variables from your picture. c) Use implicit differentiation to take the derivative of your relationship. You do not need to solve or simplify. d) How fast is the distance between us changing at t 0.5 hours? miles/hour

Please answer all steps and questions on the paper.

Please answer through typing answers out. I cannot determine/;understand cursive written solutions. Not for academic grade.