MTH 150 Final Exam Review - MTH 150 FINAL EXAM PREPARATION...

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MTH 150 FINAL EXAM PREPARATION DATE & TIME: _____________________________________________________________ FORMAT: 45 multiple choice problems BRING: TI-83/84 calculator, #2 pencils, a good eraser STUDY: chapter reviews, chapter exams, final exam review IMPORTANT TOPICS: Finding limits, derivatives, and integrals make up the foundation of your study of calculus, but be sure to also study the following theorems, applications, and graphical concepts. Theorems and Definitions head2right Formal Definition of a Limit (2.2) head2right Intermediate Value Theorem (2.4) head2right Limit Definition of a Derivative (3.1) head2right Extreme Value Theorem (4.1) head2right Rolle’s Theorem / Mean Value Theorem (4.2) head2right Limit Definition of Definite Integral (5.3) head2right MVT for Integrals (5.4) Applications head2right Linear Motion (3.2, 3.3, 5.1) head2right Related Rates (3.7) head2right Newton’s Method (3.8) head2right Optimization (4.7) head2right Error Propagation (4.8) head2right Area (5.2) Graphical Concepts head2right Determine limits graphically head2right f and the slope/direction of f head2right f ′′ and the concavity of f head2right Definite integral and area
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MTH 150 Final Exam Review Limits (Chapter 2) 1. Find the limits: a. 2 1 2 lim 1 x x x x + - - - f. 0 lim tan x x x b. 2 1 1 2 1 lim 1 x x x - - - g. ( ) ( ) 0 sin 4 lim cos 3 θ θ θ θ c. 3 3 lim 3 x x x - - h. ( ) 2/ 0 1 cos lim 1 t t t t t - + + d. ( ) 1 lim x f x if ( ) 3 , 1 1, 1 x x f x x - = = i. sin lim x x x →∞ e. 2 2 2 lim 4 x x x - - j. 2 2 1 4 lim 5 13 x x x x →∞ - - +
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