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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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
- Exam (elaborations) • 10 pages • 2024
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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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Algebra 2 B- Lesson 3: Rational Functions and Their Graphs | Questions with 100% correct answers | Verified
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Suppose that w and t vary inversely and that t=1/5 when w=4. Write a function that models the inverse 
variation, and find t when w=9. - t=4/5w; 4/45 
Suppose that y varies directly with x and inversely with z, and y=18 when x=15 and z=5. Write the 
equation that models the relationship. Then find y when x=21 and z=7. - y=6x/z; 18 
Graph the function y=13/6x - Graph C 
Sketch the asymptotes, and graph the function y= 5/(x-2) +3 - Graph C 
This graph of a function is translation of y=4/x. what is...
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College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|
- Exam (elaborations) • 16 pages • 2024
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1. 2x(x 3) (x 1)(x 2) 
a. 2 x 7x 2. b. 2 x 5x 2 . c. 2 3x 7x 2. d. 2 3x 5x 2. e. 2 3x 5x 2 . 
2. 7 
2 2 
x 
x x 
 
a. 7 
 
 
2 
x 
x 
 
. 
b. 7 
2 
x 
x 
 
. 
c. 
2 
29 14 
4 
x x 
x 
 
. 
d. 
2 
29 14 
4 
x x 
x 
 
. 
e. 7 
4 
x 
. 
3. 3 2 x = 
a. 
2 
3 x . b. 3 x 
 
. c. 
3 
2 x . d. 6 x 
 
 . e. 6x 
two vertical asymptotes; one oblique asymptote . b. one ver...
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College Level Mathematics Placement Pretest With Correct Answers On The Last Page |100% verified|
- Exam (elaborations) • 16 pages • 2024
- Available in package deal
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- $13.49
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1. 2x(x 3) (x 1)(x 2) 
a. 2 x 7x 2. b. 2 x 5x 2 . c. 2 3x 7x 2. d. 2 3x 5x 2. e. 2 3x 5x 2 . 
2. 7 
2 2 
x 
x x 
 
a. 7 
 
 
2 
x 
x 
 
. 
b. 7 
2 
x 
x 
 
. 
c. 
2 
29 14 
4 
x x 
x 
 
. 
d. 
2 
29 14 
4 
x x 
x 
 
. 
e. 7 
4 
x 
. 
3. 3 2 x = 
a. 
2 
3 x . b. 3 x 
 
. c. 
3 
2 x . d. 6 x 
 
 . e. 6x 
two vertical asymptotes; one oblique asymptote . b. one ver...
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Precalculus - Functions & Polynomials
- Summary • 11 pages • 2023
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Functions, polynomials, fundamental theorems and rules, asymptotes and complex numbers.
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Edexcel A Level Maths – Pure A+ Graded 100% Verified
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Edexcel A Level Maths – Pure A+ Graded 100% Verified 
 
Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. 
 
Integers ANS: The set of whole numbers and their opposites 
Z⁺ 
Z⁺₀ 
 
Rational Number ANS: set of all numbers that can be written as a fraction of two integers 
Q 
 
irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π 
 
Universal Set ANS: A set that includes all the objects being discussed. 
 
- Ex...
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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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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
- Exam (elaborations) • 4 pages • 2024
- Available in package deal
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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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MATH 136 | Questions with 100 % correct Answers | Verified
- Exam (elaborations) • 2 pages • 2023
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Quadratic Functions to Vertex Form - (3.6) 2 Methods: 
Complete the square (be careful if x-squared term doesn't have a 1 coefficient), or 
Use vertex formula to find h and k and fill in the blanks. h=-b/2a, k=f(-b/2a) 
Graphing Quadratic Functions - (3.6) positive a, opens up. Negative a, opens down. Vertex, h=--b/2a. 
k= f(-b/2a). Axis of symmetry, x=-b/2a. 
Domain of sum, difference, or product of 2 functions - (3.7) Domain is the intersection of the 
domains of the 2 original functions. Tha...
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