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the assignm Lesson 10 Content Exercises Question 10.1. Let a be the number of classes you are taking this semester and let b be the number of letters in your first name. Then, find f'(x) where f (x) = Vaz + b. You must use the limit definition of the derivative. Show all of your work. observations began. Question 10.2. Suppose h(t) represents the height of the water in a local reservoir, in feet, t days after (a) What are the units of h'(t)? (b) Using complete sentences, interpret each of the following mathematical statements within the given context. Be sure to use units in your answer and do not use technical language (for example, the word "derivative" should not be in your interpretation). (i) h(3) = 45 (ii) h'(3) = 0.03 (c) Is it possible for h'(t) to be negative? Explain your answer. (d) Using the context and real world scenario provided, explain why h(t) is differentiable. (Note: Stating that h (t) exists is not a valid response. This does not use the context.) Review Exercise Question 10.3 (See Lesson 8). Find the following limit or explain why it does not exit. If the limit is infinite, justify whether it is positive or negative. Show all work. lim 2 - 3x - 8x2 x-+-09 12x2 + 3x - 1