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# Math 200 Practice Exam MATH 200

SELU

GPA 3.241

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## Popular in CALCULUS I

## Popular in Applied Mathematics

This 2 page Study Guide was uploaded by Daija Randolph on Wednesday January 27, 2016. The Study Guide belongs to MATH 200 at Southeastern Louisiana University taught by Ken Li in Spring 2016. Since its upload, it has received 46 views. For similar materials see CALCULUS I in Applied Mathematics at Southeastern Louisiana University.

## Reviews for Math 200 Practice Exam

I'm pretty sure these materials are like the Rosetta Stone of note taking. Thanks Daija!!!

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Date Created: 01/27/16

MATH 20003 Practice Exam I 1. Give a problem that one needs to use Calculus to solve. 2. State the definition of limit (explains what the statexct (x) Lmeans) 3. Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. a. If f is undefined at c , then the limit of x)as x approaches to c does not exist. b. If lim f (x) 1 , then (1) . x1 c. If f (c) , then xcf (x) L. d. If f is continuous at c , thenxc f (x) f (c. e. If f is differentiable at , then f is continuous at . 4 4. Consider f (x) x 3, find x3 f (x). Then find such that f (x) L | 0.02 5 whenever | x 3 |. 5. Find the limit if it exists lim(x 2x3) x 5 x 5x 4 a. x2 b. x1 x 6 c.lx4x 2x 8 d.lim t 6 3 t3 t 3 6. Find the discontinuities of each function and determine whether is removable. x1 | t 3| a. (x) 2 b. h(t) t 3 x x2 7. Find the on2 sided limit if it exists a. x b. im 4 x3 x 9 s2(s 2)3 2 x 2 x 2 c. limf() wh fx) x2 2 x 2 x 2 2 8. Use the definition to find the derivative of the function x 2x . 9. Use the definition to find the slope of the tangent line to the graph of x at the point (4,2) , then find the equation of the tangent line. 10. Find the derivative of each function 1 2 2 a. f (x) x 3x 100 b. y 2x 5 c. h(t) 3 3cost 2 x t 2x 1 3 1 cos x d. (x) x 1 e. y 2t sin t f. (x) 1 cos x 4 g. h(x) x cos x 2 11. The position of a projectile fired into the air is given by s(t) 16t 64t 10 (in feet). Find its velocity at 2 seconds and 3 seconds after it was fired.

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