IB DP Maths: AI SL复习笔记3.1.2 Arcs & Sectors
Length of an Arc What is an arc? An arc is a part of the circumference of a circle It is easiest to think of it as the crust of a single slice of pizza The length of an arc depends of the size of t...
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Length of an Arc What is an arc? An arc is a part of the circumference of a circle It is easiest to think of it as the crust of a single slice of pizza The length of an arc depends of the size of t...
Basic Coordinate Geometry What are cartesian coordinates? Cartesian coordinates are basically the x-y coordinate system They allow us to label where things are in a two-dimensional plane In the 2D ...
Modelling with Functions What is a mathematical model? A mathematical model simplifies a real-world situation so it can be described using mathematics The model can then be used to make predictions...
Sinusoidal Models What are the parameters of a sinusoidal model? A sinusoidal model is of the form The a represents the amplitude of the function The bigger the value of a the bigger the range of v...
Direct Variation What is direct variation? The graphs of these models always start at the origin How do I solve direct variation problems? Worked Example b)Find the time it takes to order a list of...
Exponential Models What are the parameters of an exponential model? An exponential model is of the form Where e is the mathematical constant 2.718… The c represents the boundary for the function It...
Quadratic Models What are the parameters of a quadratic model? This is given in the formula booklet as the axis of symmetry What can be modelled as a quadratic model? These can be used if the graph...
Linear Models What are the parameters of a linear model? The m represents the rate of change of the function This is the amount the function increases/decreases when x increases by 1 If the functio...
Quadratic Functions & Graphs What are the key features of quadratic graphs? If a is positive then the vertex is the minimum point If a is negative then the vertex is the maximum point Exam Tip ...
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