M1550-Final-SG

M1550-Final-SG - Math 1550 (30) Final Exam Study Guide The...

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Unformatted text preview: Math 1550 (30) Final Exam Study Guide The Final Exam (worth 20% of your grade) will be on Thursday, December 9th, from 5:30 - 7:30PM. These problems should be a guide to prepare for the test. Sections you should focus on: Chapter 2: Sections 2.1 through 2.6 Chapter 3: Sections 3.1 through 3.7, and 3.10 Chapter 4: Sections 4.2, 4.3, 4.4, 4.7, 4.9 Chapter 5: Sections 5.2, 5.3, 5.4, 5.6, 5.7 Chapter 6: Sections 6.1, 6.2 (just average value), 6.3, 6.4 Chapter 8: Section 8.1. 1 Chapter 2 Problems 1. For what value of c is the function below continuous on (- , )? f ( x ) = cx + 4 , if x < 2 cx 2- 1 , if x 2 2. Find the limits: (a) lim x 4 x 2- 16 x- 4 (b) lim x 4 x- 2 3( x- 4) (c) lim x sin(8 x ) x (d) lim x 0+ sin(5 x ) | x | (e) lim x - sin(3 x ) | x | (f) lim x 3 x- 3 x 3- 9 x (g) lim x 5 + x- 5- x x (h) lim x tan(4 x ) tan(8 x ) ; 3. Below is the graph of a function f : 1 2 3 4 5 6 2 4 6 8 10 2 Find: (a) lim x 1- f ( x ) (b) lim x 1+ f ( x ) (c) lim x 2- f ( x ) (d) lim x 2+ f ( x ) (e) lim x 4- f ( x ) (f) lim x 4+ f ( x ) State the type of dicontinuity that f has at the points x = 1, x = 2, and x = 4. 3 Chapter 3 Problems 1. Find all the values of x where the tangent lines to y = x 3 3 + 3 x and y = 2 x 2 are parallel....
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M1550-Final-SG - Math 1550 (30) Final Exam Study Guide The...

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