Mandimngezana
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How to find the inverse of any function explained
A summary on inverse functions, covering: The natural logarithmic function, the natural exponential function, logarithmic differentiation, laws of exponents and their proofs, and radioactive decay. The are ample problems and solutions to those problems to help you understand.
- Summary
- • 28 pages •
A summary on inverse functions, covering: The natural logarithmic function, the natural exponential function, logarithmic differentiation, laws of exponents and their proofs, and radioactive decay. The are ample problems and solutions to those problems to help you understand.
How to solve limit indeterminate forms using L’Hospital’s rule
A summary on how to solve limit indeterminate forms using L’Hospital’s rule. There are problems and solutions to those problems to help you understand.
- Book
- Summary
- • 5 pages •
A summary on how to solve limit indeterminate forms using L’Hospital’s rule. There are problems and solutions to those problems to help you understand.
Hyperbolic functions explained_Problems and Solutions
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.
- Book
- Summary
- • 5 pages •
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.
How to calculate the volume of any solid by integration explained
A summary on how to calculate the volume of any solid using integration. There are problems and solutions to those problems to help you understand.
- Book
- Summary
- • 12 pages •
A summary on how to calculate the volume of any solid using integration. There are problems and solutions to those problems to help you understand.
Derivatives explained_Problems and Solutions
A summary on derivatives covering: The derivative as a function, Rules of differentiation, Implicit differentiation, the proofs of the rules. There are ample examples in the summary.
- Book
- Summary
- • 30 pages •
A summary on derivatives covering: The derivative as a function, Rules of differentiation, Implicit differentiation, the proofs of the rules. There are ample examples in the summary.
Limits and Continuity explained_Problems and Solutions
A summary on limits and continuity covering: Tangent and velocity problems, the limit as a function, infinite limits, calculating limits using the limit laws, the squeeze theorem, continuity and the intermediate value theorem.
- Book
- Summary
- • 19 pages •
A summary on limits and continuity covering: Tangent and velocity problems, the limit as a function, infinite limits, calculating limits using the limit laws, the squeeze theorem, continuity and the intermediate value theorem.
Functions explained_Problems and Solutions
A summary on functions which covers: Linear models, Rational functions, Algebraic functions, Trigonometric functions as well as function translation and reflection.
- Book
- Summary
- • 19 pages •
A summary on functions which covers: Linear models, Rational functions, Algebraic functions, Trigonometric functions as well as function translation and reflection.
Introduction to Vectors
A summary about vectors. The following are covered: Vector arithmetics, Norm of a vector, Cross product and the Dot product.
- Book
- Summary
- • 18 pages •
A summary about vectors. The following are covered: Vector arithmetics, Norm of a vector, Cross product and the Dot product.
How to find the determinant of a matrix explained
A summary on how to determine the determinant of a matrix. Cramer’s rule and row reduction are discussed.
- Book
- Summary
- • 15 pages •
A summary on how to determine the determinant of a matrix. Cramer’s rule and row reduction are discussed.
Introduction to linear algebra & matrices
This document is an introduction to linear algebra & matrices. It covers: Matrix operations, Gaussian elimination, Partitioned matrices, Matrix products, The transpose of a matrix, Matrix arithmetics and the Identity Matrix.
- Book
- Summary
- • 42 pages •
This document is an introduction to linear algebra & matrices. It covers: Matrix operations, Gaussian elimination, Partitioned matrices, Matrix products, The transpose of a matrix, Matrix arithmetics and the Identity Matrix.