Asymptotes - Study guides, Class notes & Summaries
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OCR a-level maths Complete Assignment With 100% Correct $ Verified Answers.
- Exam (elaborations) • 29 pages • 2024
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- Sn = n/2 (2a + (n-1)d) 
- Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series 
 
the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series 
 
- Un = a + (n-1)d 
- a = the first term 
- d = the common difference - correct answer nth term of an arithmetic sequence 
 
- Un = ar^(n-1) 
- a = ...
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University of Central Florida - MAC 1114C - 5.4 More Trigonometric Graphs Notes - Kwon
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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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AQA AS MATHMATICS 7356 1 Paper 1 Question Paper Mark scheme Merged 2024 Update Expert Verified
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1	Find the coefficient of the x term in the binomial expansion of (3 þ x)4 Circle your answer. 
 
 
 
 
 
 
 
 
 
 
 
 
 
[1 mark] 
 
outside the box 
 
 
12	27	54	108 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2	Given that 
 
 
dy	1 
d x ¼ x	find 
 
d2y d x2 
 
Circle your answer. 
[1 mark] 
 
2	1	1	2 
— x2	— x2	x2	x2 
 
1 
3	The graph of the equation y ¼ x is translated by the vector 
 
" 3 # 
 
 
 
outside the box 
 
 
3 (a)	Write down the equation of the transformed graph. 
[1 ...
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Mathnasium Job Assessment Exam All Possible Questions and Answers with complete solution
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How do you find the perimeter and area of a rectangle? - P = 2l + 2w 
P = 2 (l + w) 
A = lw 
How do you find the area of a parallelogram? - A = bh 
How do you find the circumference and area of a circle? - C = 2 x pi x r 
C = pi x d 
A = pi x r^2 
What is the Pythagorean Theorem? -a^2 + b^2 = c^2 
How do you find the area of a triangle? - A = (1/2)bh 
How do you find the area of a trapezoid? - A = (1/2)h (b1 + b2) 
How do you find the volume and surface area of a rectangular solid? -V = lwh 
SA ...
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AP Calculus AB Comprehensive Exam Review with Answers
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AP Calculus AB Comprehensive Exam Review with Answers 
 
limit - Answer>>value approached but not necessarily reached. The value must approached the same thing from both sides. 
 
Instantanious Rate of Change (IROC) - Answer>>f '(x), slope of tangent line 
 
Continuity - Answer>>A function is continuous on an interval if it is continuous at every point of the interval. No "holes", No "jumps", and No Vertical asymptotes at x=a. 
 
Intermediate Value Theorem - Answer>>...
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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// QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023
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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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MATH 1508 WEEK 4 EXAM REVIEW.Prec 2111 With Well Elaborated Questions And 100% accurate Solutions (verified) LATEST 2024 UPDATE 2024 Week 3 1st Attempt 9/10
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1. A circle can be centered anywhere in the coordinate plane. ANSWER: True 
2. Find the standard equation of the hyperbola which satisfies the given conditions: 
Vertices (-2, 8) and (8, 8), a focus (12, 8) 
ANSWER: (x−3)225−(y−8)256=1(x−3)225−(y−8)256=1 
 
3.What are the coordinates of the center of the circle given by the equation x2+y2-16x- 8y+31=0? 
ANSWER: (8,4) 
 
4.Give the standard equation of the circle satisfying the given condition: center at the origin, radius 4Give ...
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OCR a-level maths Question Fully Solved.
- Exam (elaborations) • 28 pages • 2024
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- Sn = n/2 (2a + (n-1)d) 
- Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series 
 
the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series 
 
- Un = a + (n-1)d 
- a = the first term 
- d = the common difference - correct answer nth term of an arithmetic sequence 
 
- Un = ar^(n-1) 
- a = first term 
- r = common ratio - correct answer nth term of a geometric sequence 
 
- Sn = a(1-r^n) / 1-r 
- Sn...
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MATH GRAPHING TRIG FUNCTIONS QUIZ WITH COMPLETE SOLUTIONS.
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domain of sine function 
all real numbers 
 
 
 
range of sine function 
[-1,1] 
 
 
 
Brainpower 
0:04 
/ 
0:15 
type of function for sine 
ODD (180 flip) 
 
 
 
period of sine function 
2π (2π/b) 
 
 
 
x intercepts of sine function 
infinite multiples of pi 
 
 
 
y intercept of sine function 
0 
 
 
 
domain of cosine function 
all reals 
 
 
 
range of cosine function 
[-1,1] 
 
 
 
type of function for cosine 
EVEN (flip over y axis) 
 
 
 
period of cosine function 
2π (2π/b) 
 
 
 
x...
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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
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evaluate the integral 2/1, ln(x)/x dx - ANSWER-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - ANSWER-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - ANSWER-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
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