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Lesson 9 Content Exercises Question 9.1. Suppose s(t) represents the height of a ball, measured in feet, t seconds after the ball is thrown. (a) Using a complete sentence with units, interpret the mathematical statements s(2) = 3 and s' (2 ) = -4. (b) Find an equation of the line tangent to the graph y = s(t) when t = 2 given that s(2) = 3 and s' ( 2 ) = -4. Include a justification for how you used each piece of information. Question 9.2. Let a be the number of letters in your last name and let b be the number corresponding to the month of your birthday. If a and b happen to be the same number, please let a be one more than the number of letters in your last name. Then, find f'(a) where f(x) = x - You must use the limit definition of the derivative at a point. Show all of your work. Review Exercise Question 9.3. Sketch the graph of a function whose limit exists at x = 4, but which is not continuous at graph is correct. x = 4. Your graph should be continuous for all x # 4. Classify the discontinuity at x = 4. Justify why your