MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Find the x coordinates of all relative extreme points of[pic].
First find the derivative of the function[pic], f ’(x):
[pic] = [pic] apply power rule of differentiation   = [pic] simplify   = [pic] finish simplifying by first factoring     out GCF   = [pic] next factor the trinomial factor,     leaving the final simplified form of     the derivative 
Set[pic]and solve for x to find critical point(s):
When the derivative is set to zero, [pic]; thus, this implies each factor could be equal to zero, meaning that there could be up to three values for x.
[pic] = [pic] set first factor equal to zero  [pic] = [pic] divide each side of the equation by 2 [pic] = [pic] simplify to find first value of x 
[pic] = [pic] set second factor equal to zero  [pic] = [pic] add 3 to each side of the equation  [pic] = [pic] simplify to find second value of x 
[pic] = [pic] set third factor equal to zero  [pic] = [pic] subtract 2 from each side of the     equation  [pic] = [pic] simplify to find third value of x 
Therefore, the xcoordinates of the relative extreme points are in the following set: [pic].
Answer is D 
2) A manufacturer estimates that the profit from producing x units of a commodity is[pic]dollars per week. What is the maximum profit he can realize in one week?
A) $300 
B) $400 
C) $500 
D) $275 
E) none of these 
[pic]
First find the derivative of the profit function[pic], P’(x):
[pic] = [pic] apply power rule of     differentiation   = [pic] simplify 
Set[pic]and solve for x to find critical point(s):
...
CET 2486C – Network Technologies
Professor:
November 27, 2012
Abstract
MPLS or Multi Protocol Label Switching is a networking technology that functions between layers 2 and 3 of the OSI model. MPLS constitutes of adding a label (sometimes called “Shim” because of their placement between layer 3 and layer 2 headers.) to the data package, this label contains special addressing and sometimes prioritization information. Because the MPLS label contains all...
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...No 1. 2. 3. 4. 5. 6. 7. 8. Code: UCCM1153 Status: Credit Hours: 3 Semester and Year Taught:
Information on Every Subject Name of Subject: Introduction to Calculus and Applications
Prerequisite (if applicable): None Mode of Delivery: Lecture and Tutorial Valuation: Course Work Final Examination 40% 60%
9. 10.
Teaching Staff: Objective(s) of Subject: • Review the notion of function and its basic properties. • Understand the concepts of derivatives. •...
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   Ritual function 
   Heuristic function 
 Instructor Explanation:  The answer can be found in Section 4.2 of Making Connections. 


 Points Received:  1 of 1 
 Comments:  


2.  Question :  One reason language is so powerful is that it is the means by which you construct your reality. 

 Student Answer:   True     False 
 Instructor Explanation:  The answer can be...
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November 2013
2
1. (6 marks) Find the following limit:
lim (1 + sin 7 x )
cot 5 x
x →0 +
(
2. (3 marks) Find the derivative of y = 3 x + 5
2
)
sec x
Calculus I Midterm 2
November 2013
3
3. (Total 8 marks) Answer each question in the space provided. Do NOT simplify your
answer.
x2 − x
3
dy
of the function f ( x) = ln( x3 )
a)...
...Calculus is the mathematical study of change,[1] in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves); these two branches are related to each other by the fundamental theorem of...
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