CCNA3 Exploration: LAN Switching and Wireless
(Guided Case Study)
CCNA3 Exploration:
LAN Switching and Wireless
Guided Case Study
Student:
Robert Chambers
Date:
Points:
404d89781742cb4d23cc75e8fef384b3e2390a1a.doc
Page 1 / 18
CCNA3 Exploration: LAN Switch
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MATH 2011
Exam 1 Review
1. Define/State the following:
a. the statement lim f(x) = L.
x a
b. the statement f(x) is continuous at the real number a.
c. The Intermediate Value Theorem.
2. Consider the statement lim 2x 3 7 . If .1 , find the largest value of
MATH 2011 EXAM #1 Name K \1 ‘
May 27, 2011
Show all work when appropriate to get credit.
1. Deﬁne the following: f is continuous at the real number 0.
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2. Given an e — 6 proof of the statement lim 7 — 2x = 1.
x93
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MATH 2011 EXAM #2 Name K E: )/
June 7, 2011
Show all work when appropriate to get credit.
1. Deﬁne the statement: the ﬁmction f(x) is dz‘ﬁérentiable at the number a Show that the function
f(x) = (x —2)2’3 is not diﬂ‘erentiable at x=2.
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MATH 2011
Practice Exam 3
1. Let y x 3 2 x , x = 1 and dx = 0.1. Find the error y dy in approximating y by
dy.
2. Use differentials to approximate a.) tan (46 ) b.)
4
82 .
3. Given a function f(x) such that f(3) = 2 and f ( x ) ( x 3 5)1 / 5 , use differe
MATH 2011
Exam 2 Review
1. Define the statement: f is differentiable at x = a. Verify that the function f(x) = ( x 1)1 / 3
is not differentiable at x = 1.
Find the indicated derivatives in the following problems. Do no simplify your answers.
dy
if y (x 1)
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6.2 Trigonometry of Right Triangles
Given a right triangle (triangle with one angle = 90) with an acute angle , we can define
the six trigonometric ratios as follows.
Six Trigonometric Functions: sine, cosine, tangent, cosecant, secant, cotangent
sin = op
Section 5.3 Trigonometric Graphs
Notice on the unit circle that the sine and cosine values (x and y coordinates of the points) repeat every 2.
These functions are periodic. Knowing how to graph y = sin x and y = cos x, we can graph variations of these
fun
5.2 Trigonometric Functions of Angles
These functions are sometimes called circular functions because they can defined by the unit circle.
Recall that we have defined the trigonometric functions by making a right triangle with the point on the terminal
si
Transformations of the graph of f(x)
Given y = f(x) and c > 0,
Shifts:
y = f(x) + c
y = f(x) c
vertical shift up c units
vertical shift down c units
y = f(x + c)
y = f(x c)
horizontal shift left c units
horizontal shift right c units
Stretch and compressi
5.1 The Unit Circle
The unit circle, x2 + y2 = 1, is a circle with radius = 1 and center = (0, 0).
A point on the unit circle must satisfy its equation: x2 + y2 = 1
3 6
Ex: Show the P
3 , 3 is a point on the unit circle.
3
Ex: Find the y-coordinate o
6.4/ 6.5 The Law of Sines and the Law of Cosines
We use the law of sines and the law of cosines to solve oblique triangles, triangles without a
right angle.
-Law of Sines:
or
*In any triangle, the ratio of the sine of an angle to the side opposite that an
3.6 Rational Functions
where P and Q are polynomials and they have no factors in common
The domain of these functions is all real numbers except those that make the denominator = 0.
These functions are not smooth curves with no breaks as the polynomial fu
Polynomial Functions and their Graphs
P(x) = anxn + an-1xn-1 + + a1x + a0
as are coefficients
a0 is constant term
an is leading coefficient
n = degree of polynomial function
Ex: 2x5 3x4 + 5x2 3 degree = 5, leading coefficient is 2
7x3 is a monomial
2x 1 i