Trigonometric limits Study guides, Class notes & Summaries
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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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SMA 2101 Calculus
- Exam (elaborations) • 61 pages • 2024
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SMA 2101: CALCULUS I 
c Francis O. Ochieng 
 
Department of Pure and Applied Mathematics 
Jomo Kenyatta University of Agriculture and Technology 
Course content 
• Functions: definition, domain, range, codomain, composition (or composite), inverse. 
• Limits, continuity and differentiability of a function. 
• Differentiation by first principle and by rule for x (integral and fractional n). 
• Other techniques of differentiation, i.e., sums, products, quotients, chain rule; their applicat...
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CALCULUS AND ITS APPLICATIONS 10TH EDITION BY Marvin L.Bittinger Indiana University Purdue University Indianapolis, David J.Ellenbogen Community College of Vermont and Scott A.Surgent Arizona State University
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Contents 
Preface vii 
Prerequisite Skills 
Diagnostic Test xix 
CHAPTER R 
Functions, Graphs, and Models 1 
R.1 Graphs and Equations 2 
R.2 Functions and Models 13 
R.3 Finding Domain and Range 24 
R.4 Slope and Linear Functions 33 
R.5 Nonlinear Functions and Models 50 
R.6 Mathematical Modeling and Curve Fitting 68 
Chapter Summary 79 
Chapter Review Exercises 85 
Chapter Test 88 
Extended Technology Application 
Average Price of a Movie Ticket 90 
CHAPTER 1 
Differentiation 93 
1.1 Limits: A...
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SMA 2101: CALCULUS
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SMA 2101: CALCULUS I 
⃝c Francis O. Ochieng 
 
Department of Pure and Applied Mathematics 
Jomo Kenyatta University of Agriculture and Technology 
Course content 
• Trigonometric functions: addition, multiple angle and factor formulae. 
• Limits, continuity and differentiability. 
• Differentiation by first principles and by rule for x 
n 
(integral and fractional n), sums, products, 
quotients, chain rule, trigonometric, logarithmic and exponential functions of a single variable. 
Param...
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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...
And that's how you make extra money
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Trigonometric Limits - Guide for MTH1441
- Summary • 11 pages • 2023
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This guide gives a conceptual explanation of Trigonometric Limits and Special Trigonometric Limits. It also provides example problems and graphical representations.
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Calculus II Class Notes for Sections 3.11-7.1 (Detailed Hand-Written (Part 2 of 2)
- Class notes • 20 pages • 2024
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Continuation of notes for MATH 1770 Calculus II sections 3.11-7.1. Topics in these notes include, definite integrals, derivatives of hyperbolic functions, volumes of cylindrical shells, rotations, determining limits of integration, practice problems of volumes with figures and drawings, work and its related equation force times displacement with calculus applications, substitution rule, Hooke's Law, integrals of trigonometric functions, integration by parts,
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Summary theory calculus (2WBB0) for final exam
- Summary • 22 pages • 2022
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Summary theory calculus (2WBB0) for final exam
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Calculus 1 - Limits Review
- Class notes • 4 pages • 2022
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This document is a review of limits. It covers limits of trig, inverse trig, exponential, logarithmic functions as well as limits at infinity with graphical interpretations and examples with answers.
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Calculus, Derivative and anti-derivative of logarithmic and trigonometric functions
- Exam (elaborations) • 26 pages • 2024
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Documents consists of proof of key formulas to be used in the study of Calculus. It contains: 
(1) Proof of some important limits 
(2) Derivative and integration of important formulas in trigonometric and logarithmic functions 
(3) Linked concepts on derivative and anti-derivative (integral)
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