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Math 200 Practice Exam W/ Answers

by: Daija Randolph

Math 200 Practice Exam W/ Answers MATH 200

Daija Randolph
GPA 3.241

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About this Document

These notes cover what type of questions will be on exam 2, it covers sections 2.4-3.3.
Ken Li
Study Guide
Math, Caculus
50 ?




Popular in CALCULUS I

Popular in Applied Mathematics

This 10 page Study Guide was uploaded by Daija Randolph on Monday February 15, 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 65 views. For similar materials see CALCULUS I in Applied Mathematics at Southeastern Louisiana University.


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Date Created: 02/15/16
MATH 200­03 Practice Exam II 5 6 5 3 2 2 1. a.  g(x)  (2x 1) b.  h(x)  2 tan (x ) c. u( y)  y 4  y 5 d.  v(t)   1 2t   1  t   2. Use implicit differentiation to find  y . a. x  xy y  33 b.  y  cos( xy) 2 3 3. Find the equation of the tangent line to the graph of  x  xy  y 1 at the point  (1,1) . 4. Sand falls from a conveyor belt at the rate of 10 cubic meter per minute onto the top of a  conical pile, The height of the pile is always three­eighths of the base diameter. How fast are  the (a) height and (b) radius changing when the pile is 4 meters high? 2 5. A particle moves along the parabola  y  x in the first quadrant in such a way that its x­ coordinate (measured in meters) increases at a steady rate 10 m/sec. How fast is the angle of  inclination of the line joining the particle to the origin changing when  x  3 m.  6. Find the maximum and minimum values of each function on the indicated intervals. a.  f (x)  x  27x 100  on  [ 2,5]   b.  g(t)  t 9  t 2 on  [0,3] 7. Consider the function  f (x)  x 3 on the interval  [1,3 ] , find all the values of c in  [1,3 ] such  that  f '(c)  f (b)  f (a) . b  a 8. Determine where the function is increasing and where is decreasing 3 2 2 / 3 a.  f (x)  x  6x  25 b.  g(x)  (x  4) 1 9. Find all relative extrema of each function 2 2 2 / 3 a.  f (x)  (x  2) (x 1) b.  g(x)  (x  9) 10. State true or false for each statement. If it is false, explain why or give an example that shows it false. a. Every nth­degree polynomial has (n­1) critical numbers f (c) b. If c is a critical number of the function f, then  is a relative maximum or minimum of the function c. f is a cubic polynomial whose graph has three x­intercepts, then its graph has two  horizontal tangent lines d. If f is a continuous even function, then  f '(0)  0 11. Find the points of inflection and use the second derivative test to find all relative extrema for  the function  f (x)  2x (1 x ) 2 .


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