Numerical integration - Study guides, Class notes & Summaries
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OCR 2023 GCE MATHEMATICS B MEI H640/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
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2 
© OCR 2023 H640/02 Jun23 
^ h 
= 
e 
n+1 
2 
n 2 2 
L P 
Formulae A Level Mathematics B (MEI) (H640) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n 
n e N , 
n 
J 
n 
N n! 
where Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f 
x 1 1, n e R 
2! 
Differentiation...
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Solution Manual –Applied Numerical Methods With Matlab For Engineers And Scientists Complete Revised Test VERIFIED 100%
- Exam (elaborations) • 236 pages • 2023
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Solution Manual –Applied 
Numerical Methods With 
Matlab For Engineers And 
Scientists Complete 
Revised Test VERIFIED 
100% 
lOMoAR cPSD| 
gm 
cd 
gcd 
 m 
t 
 
CHAPTER 1 
1.1 You are given the following differential equation with the initial condition, v(t = 0) = 0, 
dv 
 g 
cd 
v 
2 
dt m 
Multiply both sides by m/cd 
m dv 
 
cd dt 
m 
g v 
2 
cd 
Define a 
m dv 
 a 
2 v 
2 
cd dt 
Integrate by separation of variables, 
 
dv 
 
 
cd 
dt 
a 
2 ...
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OCR 2023 GCE MATHEMATICS A H240/01: PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 68 pages • 2024
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2 
© OCR 2023 H240/01 Jun23 
^ h 
= 
n+1 
2 
n 2 2 
L P 
2! r! 
dx dx 
Formulae 
A Level Mathematics A (H240) 
Arithmetic series 
S = 
1 
n^a + lh = 
1 
n"2a +^n - 1hd, 
Geometric series 
Sn 
= 
a 1-r 
n 
1 -r 
 a 
3 1-r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+b 
n ^n e Nh 
n 
J 
n 
N n! 
where Cr 
= n 
Cr 
= K 
r 
O = 
r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n -1hf^n -r+1h 
x 
r 
+f ^ x 1 1,n e Rh 
Differentiati...
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OCR 2023 GCE MATHEMATICS B MEI H640/01: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
- Exam (elaborations) • 62 pages • 2024
- Available in package deal
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2 
© OCR 2023 H640/01 Jun23 
= 
r n r Kr 
O 
e 
n+1 
2 
Formulae A Level Mathematics B (MEI) (H640) 
Arithmetic series 
S = 
1 
n^a+lh = 
1 
n"2a+^n-1hd, 
n 2 2 
Geometric series 
Sn 
= 
a^1-r 
nh 
1 -r 
 a 
3 1 -r 
for r 1 1 
Binomial series 
^a+bh 
n 
= a 
n + 
nC1 
a 
n-1 
b+ 
nC2 
a 
n-2 
b 
2 +f+ 
nCr 
a 
n-r 
b 
r +f+ b 
n ^n e Nh, 
where 
nC = C = 
J 
n 
N 
= 
L P 
n! 
r!^n -rh! 
^1+xh 
n 
= 1+nx+ 
n^n -1h 
x 
2 
+f+ 
n^n - 1hf^n -r+1h 
x 
r 
+f 
^x 1 1, n e Rh 
2! 
Differentiation 
f^x...
-
Solutions Manual to accompany Calculus for Business, Economics, and the Social and Life Sciences Tenth Edition, Brief Laurence D. Hoffman A+
- Exam (elaborations) • 387 pages • 2024
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Solutions Manual 
to accompany 
Calculus for Business, 
Economics, and the 
Social and Life Sciences 
Tenth Edition, Brief 
Laurence D. Hoffman 
CONTENTS 
Chapter 1 Functions, Graphs, and Limits 1 
1.1 Functions 1 
1.2 The Graph of a Function 6 
1.3 Linear Functions 14 
1.4 Functional Models 19 
1.5 Limits 26 
1.6 One-Sided Limits and Continuity 30 
Checkup for Chapter 1 33 
Review Problems 36 
Chapter 2 Differentiation: Basic Concepts 43 
2.1 The Derivative 43 
2.2 Techniques of Differentiation...
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MNG 2601 Exam Questions Correctly Answered.
- Exam (elaborations) • 24 pages • 2024
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MNG 2601 Exam Questions Correctly Answered. 
 
 
The management functions is a fundamental and interrelated process that all managers engage in. Is the statement true or false? 
True 
The phases involved in conducting an environmental analysis (4 phases) 
-identification of the key environmental variables 
-evaluation and selection of a technique for analysing the environment 
-the development of an environmental profile 
-continuous control over the variables, trends and environment 
Previous 
...
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INSTRUCTOR’S SOLUTIONS MANUAL THOMAS’ CALCULUS TWELFTH EDITION WILLIAM ARDIS Collin County Community College
- Exam (elaborations) • 1022 pages • 2024
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Functions 1 
1.1 Functions and Their Graphs 1 
1.2 Combining Functions; Shifting and Scaling Graphs 8 
1.3 Trigonometric Functions 19 
1.4 Graphing with Calculators and Computers 26 
Practice Exercises 30 
Additional and Advanced Exercises 38 
2 Limits and Continuity 43 
2.1 Rates of Change and Tangents to Curves 43 
2.2 Limit of a Function and Limit Laws 46 
2.3 The Precise Definition of a Limit 55 
2.4 One-Sided Limits 63 
2.5 Continuity 67 
2.6 Limits Involving Infinity; Asymptotes of Graphs ...
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Nursing Research Exam 1 NUR 265 GVSU Questions and Answers
- Exam (elaborations) • 7 pages • 2023
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Nursing Research Exam 1 NUR 265 GVSU 
Questions and Answers 
Evidence-based Practice - ANS ️️ Integration of best research and clinical 
expertise 
Research Evidence - ANS ️️ Empirical knowledge from studies 
Quality Improvement - ANS ️️ Initiatives with a goal for patient improvement 
Qualitative research - ANS ️️ No variables, humanistic, does NOT test theories, 
creates theories, NO hypothesis, NO variables. 
Quantitative research - ANS ️️ Formal, objective, systematic pro...
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PSY 410: Chapter 1 Exam: Psychological testing and Assessment [with 100% Correct Answers]
- Exam (elaborations) • 21 pages • 2024
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PSY 410: Chapter 1 Exam: Psychological 
testing and Assessment [with 100% 
Correct Answers] 
psychological assessment *Ans* _______ _______ is the gathering and integration of 
psychology-related data for the purpose of making a psychological evaluation that is 
accomplished through the use of tools such as tests, interviews, case studies, behavioral 
observation, and specially designed apparatuses and measurement procedures. 
psychological testing *Ans* ________ ________ is the process of ...
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MAE 284 FINAL EXAM STUDY GUIDE WITH COMPLETE SOLUTION
- Exam (elaborations) • 14 pages • 2023
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MAE 284 FINAL EXAM STUDY GUIDE WITH 
COMPLETE SOLUTION 
A finite difference boundary problem has boundary conditions given and is divided into n 
sections. How many nodes are there? How many unknowns? - answern+1 nodes, n-1 unknowns 
If your differential equation is non-linear what technique do you use to solve a boundary value 
problem using the shooting method? - answerRoot finding on the residue 
Which type of boundary condition is based on a linear combination of a dependent variable and 
it...
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