Hyperbolic functions - Study guides, Study notes & Summaries

This document consists of all the lecture notes for the semester's work. The topics included are: Substitution rule, Inverse functions, Inverse trig functions, Hyperbolic functions, Indeterminate forms, Integration by parts, Trig integrals & substitution, Integration by partial fractions, Improper integrals, Modelling with DEs & linear DEs, Lines and planes.

These are summary notes that cover everything that needs to be known regarding the hyperbolic functions for first year calculus

x Preface reasonable prices for most common computer systems. Although there are significant dif- ferences among the packages, both in perfolillance and price, all can perfOIm standard algebra and calculus operations. Having a symbolic computation package available can be very useful in the study of approximation techniques. The results in most of our examples and exercises have been generated using problems for which exact values can be deter- mined, since this penllits the perfonnance of...

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.

This document contains study notes about functions in Grade 9 Mathematics. It includes linear, hyperbolic, and quadratic (parabola) functions. It provides examples and step-by-step explanations on how to approach questions in a test or exam.

Lecture notes with examples with steps

This summary provides the equations of each of the following functions and the methods that can be used to find each equation from information given. It also describes what each variable in the equation represents on the graph. 1. Linear functions (The straight line) 2. Quadratic Functions ( The Parabola) 3. Hyperbolic Functions (The Hyperbola) 4. Exponential Functions

Summary notes on linear, quadratic, hyperbolic, exponential and logarithmic functions including commonly asked questions in DBE and IEB final examinations. Suitable for grade 11 and grade 12 learners.

In this handout, we go over exponential functions and equations of base e. In particular, we want to be able to apply the knowledge of quadratic equations to solve exponential equations without the use of a calculator. Understanding of the graphs of exponential logarithmic functions and their domains and ranges is necessary to solve such equations completely as some of the solutions you get are not feasible and must be discarded. The main purpose of this guide is to serve as a gentle int...