MAT 201 Final Exam Spring 2 2016_Review.docx

# MAT 201 Final Exam Spring 2 2016_Review.docx - MAT 201...

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MAT 201 Final Exam Review 8-4-16 Instructor: Reginald Eze, PhD Your Name: Each answer must include either supporting work or an explanation of your reasoning. These key elements are considered to be the main part of each answer and will be graded. In other words, you must explain clearly how you arrived at your solution! Evaluate the limit if, it exist. 1. 2 2 9 lim 2 7 3 3 t t t t  2. sin lim tan 0 3. 2 lim 2 2 t t t t t  4. 2 lim 9 3 x x x x  5. Find the derivative of the function using the definition of derivative. State the domain of the function and domain of its derivative. i. 9 g x x 1

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ii. 1 2 3 t G t t 6. Differentiate i. 3 2 v v v y v ii. 1 x f x c x 7. Find an equation of the tangent line to the curve 2 3 y x that is parallel to the line 2 1 x y 8. Find dy dx by implicit differentiation tan x x y y 9.
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