Maclaurin series - Study guides, Class notes & Summaries
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AQA AS FURTHER MATHEMATICS 7366/1 Paper 1 Version: 1.0 Final G/LM/Jun23/E7 7366/1 (JUN237366101) AS FURTHER MATHEMATICS Paper 1// QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023
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AQA 
AS 
FURTHER MATHEMATICS 
7366/1 
Paper 1 
Version: 1.0 Final 
G/LM/Jun23/E7 7366/1 (JUN) 
AS 
FURTHER MATHEMATICS 
Paper 1 
Monday 15 May 2023 Afternoon Time allowed: 1 hour 30 minutes 
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 pen. Pencil...
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Test Bank for Basic Technical Mathematics with Calculus, 12th edition by Allyn J. Washington
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Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. 
 
Full Chapters test bank included - Answers are given at the end of every chapter. 
 
Basic Algebraic Operations 
1.1 Numbers 
1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 
1.4 Exponents and Unit Conversions 
1.5 Scientific Notation 
1.6 Roots and Radicals 
1.7 Addition and Subtraction of Algebraic Expressions 
1.8 Multiplication of Algebraic Expressi...
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AQA AS FURTHER MATHEMATICS RATING Paper 1 May 2023
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AQA 
 
 
 
 
 
AS 
FURTHER MATHEMATICS 
Paper 1 
 
Monday 15 May 2023	Afternoon	Time allowed: 1 hour 30 minutes 
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 pen. Pencil should only be used for drawing. 
	Fill in the boxes at the top of this pag...
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Mathematics for Physical Science and Engineering: Symbolic Computing Applications in Maple and Math
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Contents 
0 Introduction 1 
1 Computers, Science, and Engineering 3 
1.1 Computing: Historical Note ��������������������������������������������������������������������� 3 
1.2 Basics of Symbolic Computing ����������������������������������������������������...
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MATH 1242 FINAL EXAM Part I (MULTIPLE CHOICE, NO CALCULATORS).
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MATH 1242 
FINAL EXAM 
Part I (MULTIPLE CHOICE, NO CALCULATORS). 
R2 
1. Find 1 4x3 dx. 
(a) 28 
(b) 15 
(c) 0 
(d) 36 
(e) 17 
2. Find 
R 
2 cos t dt. 
(a) −2 sin t + C 
(b) 2 sin t + C 
(c) 2 cos t + C 
(d) −2 cos t + C 
(e) 2 sin t cos t + C 
3. Find 
(a) 6 
(b) 4/3 
(c) 2/3 
(d) 1 
(e) 1/3 
R1 
0 
(2x − 1)2 dx. 
Spring, 2010 
1MATH 1242 
4. Find 
R2 
0 
FINAL EXAM 
Spring, 2010 
2 
xex −1 dx. 
(a) 2e3 
(b) 2(e3 − e−1 ) 
(c) 
1 3 
(e − e−1 ) 
2 
(d) 2e4 
(e) e3 − e−1 
5. F...
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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Further Mathematics Advanced PAPER 2: Core Pure Mathematics 2
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Figure 1 
 
 
initial line 
 
 
 
Figure 1 shows a sketch of the curve with polar equation 
 
r 2 sinh θ cosh θ 
 
 
 
0 θ π 
 
 
 
The region R, shown shaded in Figure 1, is bounded by the initial line, the curve and the line with equation θ = π 
Use algebraic integration to determine the exact area of R giving your answer in the form peq – r where p, q and r are real numbers to be found. 
 
 
 
 
 
(4) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ...
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Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide
- Exam (elaborations) • 298 pages • 2023
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Essential Calculus 2nd Edition 
 
2297 
 
0875 
 
0, 3, 4, 0, 2467, 3011, 9067, 6609 
 
1: Functions and Limits 
 
1.1: Functions and Their Representations 
 
1.2: A Catalog of Essential Functions 
 
1.3: The Limit of a Function 
 
1.4: Calculating Limits 
 
1.5: Continuity 
 
1.6: Limits Involving Infinity 
 
2: Derivatives 
 
2.1: Derivatives and Rates of Change 
 
2.2: The Derivative as a Function 
 
2.3: Basic Differentiation Formulas 
 
2.4: The Product and Quotient Rules 
 
2.5: The Chain ...
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MAT2691 - Mathematics II EXAM PREP.
- Exam (elaborations) • 29 pages • 2022
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8.8.1 Preparation Paper I (May/June 2010) 
Question 1 
Determine the following integrals: 
1.1 2 2 sin x x dx (2) 
1.2 
2 2 
1 
n x dx (5) 
1.3 2 9 4 
dx 
 x 
 
 (4) 
1.4 
2 27 6 
x dx x x 
 
 
 (7) 
 [18] 
Question 2 
2.1 Determine the root-mean-square value (RMS) of 2 
1 
1 
y 
x 
 
 
 
 between x 0 and x 3 . (8) 
2.2 Calculate the volume of the cone generated by revolving the area 
 between y x 2 , the y -axis and the line y 5 abou...
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calc 2 test 3 fully solved and update
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how to test for convergence in a sequence - answer-take limit, anything but infinity is convergence 
 
Geometric Series Equation - answer-∞∑n=0 a(r)^n or ∞∑n=1 a(r)^n-1 
 
Sum of Geometric Series - answer-a₁/1-r 
 
Integral test procedure/requirements - answer-Take definite integral of a_n from 1 to ∞, if the answer is anything but infinity then it converges. Requirements are that the series must be continuous, positive, and decreasing. 
 
when does a p series converge - answer-when ...
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