An Experimental Approach to CDMA and Interference Mitigation phần 1 pps
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 116 pdf
... 209, 211 , 245,
292n, 953
Leibniz’s notation, 209, 211 , 2 21
Lemmas, 688n
L’H
ˆ
opital’s Rule
definition of, 11 12
proof of, 11 14 11 16
use of, 490n, 11 12 11 14, 11 17, 11 18
Limit Comparison Test, 9 71 972, ... integrand property, 738
Algebra
equations and, 10 53
explanation of, 10 51 10 52
exponential, 247, 309– 312
exponents and, 10 53 10 54
expressions and, 10 52 10 53, 1...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 1 pps
... intended to facilitate learning deductive and inductive
reasoning, learning to use examples and counterexamples, and learning to understand the
usefulness of a variety of perspectives in devising an ... provides an introduction to functions and their representations with an emphasis
on the relationship between meaning and symbolic and graphic representations. From th...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 2 ppsx
... f(x)= tan x 615
19 .4 Angles and Arc Lengths 619
CHAPTER 20 Trigonometry—Circles and Triangles 627
20 .1 Right-Triangle Trigonometry: The Definitions 627
20.2 Triangles We Know and Love, and the ... Viewpoint 11 00
E.2 Defining Conics Algebraically 11 01
E.3 The Practical Importance of Conic Sections 11 06
APPENDIX F L’H
ˆ
opital’s Rule: Using Relative Rates of Change to
Evalua...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 3 ppsx
... 1 -to- 1.
EXERCISE 1. 1 Which of the following rules is a function? Are any of the functions 1 -to- 1?
QR S
0 −→ 13 0 −→ π 0 −→ 0
1 −→ 14 1 −→ π 1 −→ ± 1
3 −→ 16 3 −→ π 3 −→ ± 3
6 −→ 11 6 −→ π 6 −→ ± 8
Answer
Q and ... with domain {1, 2, 3, 4, 5} and range {c, d, g, o, s}.
4
B is a function with domain {1, 2, 3, 4, 5, 6} and range {c, d}.
C is not a function.
To e...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 4 doc
... g is 1 -to- 1 because every output is used only once. The function f is not
1 -to- 1 because one output corresponds to more than one input (infinitely many in this
case).
◆
Chances are that many of ... Representations of Functions 19
stocks, and the rest on bonds. Let s be the amount he puts into slow-growth stocks, 2s be
the amount he puts into riskier stocks, and b be the amo...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 5 pptx
... rectangle” is true, but the converse (“if a shape is a rectangle, then it is also a square”) is false.
1. 3 Representations of Functions 29
19 90 19 911 99 219 9 319 9 419 9 519 9 619 9 719 9 819 99
13 000
14 000
15 000
16 000
17 000
year
18 000
Applicants ... for a way
to relate h and r
success! relate r and 2-h using
a triangle with hypotenuse 2
Figure 1. 12
We can relate...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 6 doc
... -2 -1 123456
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(a) ... the range and domain.
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Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 7 pps
... of r.(kis a constant.)
(d) Suppose the manufacturer decides to switch to plastic lids and bottoms to eliminate
the taping problems. Assume that custom-made plastic lids and bottoms cost 7k
cents ... in
terms of p and D. Try out your answer in the concrete case of an item that now costs
$10 0 after a 20-percent markdown. Why should your answer not be $12 0?
58. Amir and Omar a...
Calculus: An Integrated Approach to Functions and their Rates of Change, Preliminary Edition Part 9 potx
... Basic Examples 67
Analytic Approach:
Case (1) : x − 1 ≥ 0 Case (2): x − 1 < 0
x − 1 = 2 −(x − 1) = 2
x = 3 − x + 1 = 2
x = 1
Check that when x = 3, x − 1 ≥ 0 and when x = 1, x − 1 < 0. Alternatively, ... Alternatively, check
the answers in the original problem.
(b) Geometric Approach:
|x + 1| ≤2
|x−( 1) |≤2
(the distance between x and 1) ≤ 2
– 4 –3 –2 10 1 2
22...
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