Asymptotes Study guides, Class notes & Summaries
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2023 AQA A-level FURTHER MATHEMATICS 7367/2 Paper 2 Question Paper & Mark scheme (Merged) June 2023 [VERIFIED] A-level FURTHER MATHEMATICS Paper 2
- Exam (elaborations) • 55 pages • 2024
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2023 AQA A-level FURTHER MATHEMATICS 7367/2 Paper 2 Question Paper & Mark scheme 
(Merged) June 2023 [VERIFIED] 
A-level 
FURTHER MATHEMATICS 
Paper 2 
onday 5 June 2023 fternoon Time allowed: 2 hours 
Materials You must have the AQA Formulae and statistical tables booklet for A‑level 
 Mathematics and A‑level Further Mathematics. You should have a graphical or scientific calculator that meets the 
requirements of the specification. 
Instructions Use black ink or black ball‑point p...
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WGU C957 Applied Algebra Guide (Latest 2023/ 2024 Update) | Questions and Verified Answers| 100% Correct| Grade A
- Exam (elaborations) • 23 pages • 2024
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WGU C957 Applied Algebra Guide (Latest 2023/ 2024 Update) | Questions and Verified Answers| 100% Correct| Grade A 
 
Q: regression equation best fit equation for a set of real world data 
 
 
Q: Concave up 
 
Answer: 
 y = x^2 
 
 
Q: Concave down 
 
Answer: 
 y = -x^2 
 
 
Q: inflection point 
 
Answer: 
 a point where the concavity changes 
 
 
Q: asymptote 
 
Answer: 
 a line that continually approaches a given curve but does not meet it at any finite distance. A natural limitation 
Q: expone...
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MATH-105:| MATH 105 CONTEMPORARY MATHEMATICS AD2 College Algebra QUESTIONS WITH 100% CORRECT ANSWERS| GRADED A+
- Exam (elaborations) • 75 pages • 2024
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MATH-105:| MATH 105 CONTEMPORARY MATHEMATICS AD2 College Algebra QUESTIONS WITH 100% CORRECT ANSWERS| GRADED A+ 
1.Find the horizontal and vertical asymptotes of the rational function graphed below. 
--xy 
A coordinate system has a horizontal x-axis labeled from negative 10 to 10 in increments of 1 and a 
vertical y-axis labeled from negative 10 to 10 in increments of 1. A horizontal asymptote crosses 
the vertical axis at y=4 and a vertical asymptote crosses the horizontal axis at x=negative 3...
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Math 202 Study Guide Questions With Complete Solution
- Exam (elaborations) • 21 pages • 2023
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How to find vertical asymptotes correct answer: The vertical asymptotes will occur at those values of x for which the denominator is equal to zero 
 
How many vertical asymptotes can a graph have? correct answer: infinite 
 
When will the graph have at least one horizontal asymptote at y=0 (the x-axis) correct answer: if m>n ; the degree of the denominator is larger than the degree of the numerator 
 
When will the graph have no horizontal asymptotes correct answer: m < n; the degree o...
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A-level FURTHER MATHEMATICS Paper 2 June 2023
- Exam (elaborations) • 40 pages • 2023
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Answer all questions in the spaces provided. 
 
outside the box 
 
 
 
 
 
 
1	Given that y ¼ sin x þ sinh x , find 
 
d2y d x2 þ y 
 
 
 
Circle your answer. 
 
 
2 sin x	—2 sin x	2 sinh x	—2 sinh x 
 
 
2	Which one of the expressions below is not equal to zero? 
 
Circle your answer. 
 
 
[1 mark] 
 
 
 
 
 
 
 
 
 
[1 mark] 
 
 
 
lim 
 
 
(x2 
 
 
e—x 
 
 
)	lim (x5 
 
 
ln x)	lim 
 
 ex 
 
 
lim (x3ex) 
 
x !1 
 
x ! 0 
 
x !1 x5 
 
x ! 0 
 
1	1	1 
3	The d...
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AQA A-level FURTHER MATHEMATICS 7367/2 Paper 2 Version: 1.0 Final PB/KL/Jun23/E4 7367/2 A-level FURTHER MATHEMATICS Paper 2QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023
- Exam (elaborations) • 52 pages • 2024
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AQA 
A-level 
FURTHER MATHEMATICS 
7367/2 
Paper 2 
Version: 1.0 Final 
PB/KL/Jun23/E4 7367/2 
A-level 
FURTHER MATHEMATICS 
Paper 2 
Time allowed: 2 hours 
Materials 
l You must have the AQA Formulae and statistical tables booklet for A‑level 
Mathematics and A‑level Further Mathematics. 
l You should have a graphical or scientific calculator that meets the 
requirements of the specification. 
Instructions 
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. ...
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University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon
- Class notes • 7 pages • 2023
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- $3.99
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Graph of tangent 
- Domain and range of tangent 
- Period of tangent 
- Odd function property 
- Vertical asymptotes 
- Graph of cotangent 
- Domain and range of cotangent 
- Period of cotangent 
- Graph of secant 
- Domain and range of secant 
- Period of secant 
- Graph of cosecant 
- Domain and range of cosecant 
- Period of cosecant 
- Example problems + solving solutions
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WGU C957 Latest Update Already Passed
- Exam (elaborations) • 15 pages • 2023
- Available in package deal
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WGU C957 Latest Update Already Passed 
Constant e 2.71828 
slope-intercept formula y = mx + b 
L + m the upper limit of a logistic function equation 
m the lower limit of a logistic equation 
k rate of increase for a logistic equation 
C start of increase for a logistic equation 
linear function that is a straight line 
polynomial function with curves and no asymptote 
0.7-1.0 r^2-value showing a strong correlation 
0.3-0.7 r^2-value showing a moderate correlation 
0.0-0.3 r^2-value showing a we...
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University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon
- Class notes • 7 pages • 2023
-
- $3.99
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UCF MAC 1114C Fall 2023 Professor Kwon 
 
Covers: 
- Graph of tangent 
- Domain and range of tangent 
- Period of tangent function 
- Odd function property 
- Vertical asymptotes and zeros 
- Graph of cotangent 
- Domain and range of cotangent 
- Vertical asymptotoes of cotangent 
- Period of cotangent 
- Graph of secant 
- Domain and range of secant 
- Vertical asymptotoes of secant 
- Period of secant 
- Graph of cosecant 
- Domain and range of cosecant 
- Vertical asymptotoes of cosecant 
- P...
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Mathematics 114 summaries
- Summary • 80 pages • 2022
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Aesthetic digital concise summaries of all the theory and some examples you need to know for mathematics 114. 
The whole semester's content for mathematics 114 is summarised. 
Self-study: Revision of coordinate geometry & straight lines 
These are topics that you should be familiar with from school. Some students forget some of this material by the time they start their first year, and therefore need to revise them. These topics are all required for Calculus topics later on. 
 
Week 1: Numbers,...
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