Hyperbolic identities - Study guides, Study notes & Summaries
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Multivariable Calculus Exam Questions with Verified Answers Latest Update 2024 ( 100% Pass)
- Exam (elaborations) • 9 pages • 2024
- Available in package deal
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- R153,93
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Multivariable Calculus Exam Questions with Verified Answers Latest Update 2024 ( 100% Pass) 
Distance between two points (a,b,c) and (x,y,z) - Answers d = sqrt((x-a)^2 + (y-b)^2 + (z-c)^2) 
cross sections vs level curves - Answers cross sections: vertical slices of the graph of f(x,y) formed using vertical planes x=c (f(c,y)=z) or y=c (f(x,c)=z). 
Level curves: horizontal slices of f(x,y) using horizontal planes z=c (f(x,y) =c). 
Both used to plot graphs of functions with multiple variables. 
c...
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Calculus II Class Notes for Sections 3.11-7.2 (Part 1 of 2) (21 Pages Detailed Hand-Written)
- Class notes • 21 pages • 2024
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- R148,36
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These notes provide in-detail of calculus II topics that include but are not limited to: unit circle review, hyperbolic functions introduction and applications, application of F.O.I.L method, identities, graphs of hyperbolic functions, inverse hyperbolic functions, substitution techniques, derivatives of hyperbolic functions, L'Hospital's Rule, seven indeterminate forms, limits and practice problems of limits with application of L'Hospital's Rule, areas between curves, integration, volumes of so...
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Mathematics – Class 12 – Chapterwise Question Bank with Answers – For 2025 Board Examination
- Exam (elaborations) • 475 pages • 2024
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- R148,36
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Mathematics – Class 12 – Chapterwise Question Bank with Answers – For 2025 Board Examination – 63 papers - 475 Pages – Complex Numbers & De Moivres Theorem, Quadratic Expressions, Theory of Equations, Functions, Mathematical Induction, Partial Fractions, Binomial Theorem, Permutations & Combinations,Matrices & Determinants, Measures of Dispersion, Probability, Trigonometric Functions & Identities, Trigonometric Equations, Properties of Triangles, Inverse Trigonometric Functions, Hyperb...
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Hyperbolic Functions & Successive Differentiation Notes
- Class notes • 5 pages • 2024
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- R194,78
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An introduction & some main pointers of hyperbolic functions, domain & range, graphs, identities, integration, logarithmic form, inverse hyperbolic functions, leibnitz theorem with it's proof
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Identities Sheet
- Other • 2 pages • 2023
- Available in package deal
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- R55,52
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A compilation of identities. Including Pythagorean, Double/Half Angle, Sum/Difference Identities, Hyperbolic Trigonometric Derivatives, Inverse Trigonometric Derivatives, Common MacLauren/Taylor Series, as well as a Unit Circle. Product Rule, Chain Rule, Integration by Parts, and plenty more. 
 
*Note: I intend to update this sheet as needed/desired.
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Exam (elaborations) TEST BANK FOR Mathematical Methods for Physics and Engineering 3rd Edition By K. F. Riley, M. P. Hobson (Student Solution Manual)
- Exam (elaborations) • 539 pages • 2021
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- R287,62
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Exam (elaborations) TEST BANK FOR Mathematical Methods for Physics and Engineering 3rd Edition By K. F. Riley, M. P. Hobson (Student Solution Manual) 
Student Solutions Manual for 
Mathematical Methods 
for Physics and Engineering 
Third Edition 
K. F. RILEY andM. P. HOBSON 
Contents 
Preface page ix 
1 Preliminary algebra 1 
2 Preliminary calculus 17 
3 Complex numbers and hyperbolic functions 39 
4 Series and limits 55 
5 Partial differentiation 71 
6 Multiple integrals 90 
7 Vector algebra 1...
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Exam (elaborations) TEST BANK FOR Mathematical Methods for Physics and Engineering 3rd Edition By Riley
- Exam (elaborations) • 538 pages • 2021
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- R287,62
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Exam (elaborations) TEST BANK FOR Mathematical methods for physics and engineering 3rd Edition By Riley, Kenneth Franklin_ Hobson, Michael Paul (Solution Manual) 
Student Solutions Manual for 
Mathematical Methods 
for Physics and Engineering 
Third Edition 
K. F. RILEY andM. P. HOBSON 
Contents 
Preface page ix 
1 Preliminary algebra 1 
2 Preliminary calculus 17 
3 Complex numbers and hyperbolic functions 39 
4 Series and limits 55 
5 Partial differentiation 71 
6 Multiple integrals 90 
7 Ve...
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Hyperbolic functions explained_Problems and Solutions
- Summary • 5 pages • 2022
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- R60,00
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A summary on hyperbolic functions, covering: the various hyperbolic functions, their identities, the inverse of hyperbolic functions and the derivatives of hyperbolic functions. There are problems and solutions to those problems to help you understand.
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Exam (elaborations) TEST BANK FOR Foundation Mathematics for the Physical Sciences By Riley K.F. and Hobson M.P.
- Exam (elaborations) • 217 pages • 2021
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- R287,62
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Exam (elaborations) TEST BANK FOR Foundation Mathematics for the Physical Sciences By Riley K.F. and Hobson M.P. 
Foundation Mathematics 
for the Physical Sciences 
Student Solution Manual 
K. F. RILEY 
University of Cambridge 
M. P. HOBSON 
University of Cambridge 
Contents 
Preface page vii 
1 Arithmetic and geometry 1 
2 Preliminary algebra 14 
3 Differential calculus 30 
4 Integral calculus 43 
5 Complex numbers and hyperbolic functions 54 
6 Series and limits 67 
7 Partial differentiation ...
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integration class notes + solved examples (pt1)
- Class notes • 1 pages • 2023
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- R204,06
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This document contains basic integration rules and methods including trigonometric, hyperbolic and inverse functions, u substitution, integration by parts (tabular method), reduction formula and much more. This document is a summary for the first half of the calculus II course with solved examples accompanying each explained concept.
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