Let T(x, y) = 15e¬¤´y give the temperature, in degrees Celsius, at a point in the plane, where x and y are both measured in meters. Find the rate at which the temperature is changing as you move away from the point (1, 2) toward the point (0, –1). Include units, and circle your final answer. What is the maximum rate at which the temperature can change in moving away from the point (1, 2)? Include units, and circle your final answer.

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 Thank You.