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...2 below tell you, and comment on any features of the way that they are drawn, which you think are important. What does rate of change mean? Describe in words the following: y = 24x 2 + 2x - 3 Calculate [Figure 1] Figure 1 [Figure 2] Figure 2 Answer For the purposes of this course the definition used has four parts: A system is an assembly of components, connected together...

...2 looks at rules for manipulating inequalities and finding the solution set of an inequality. Section 3 looks at various techniques for proving inequalities. Section 4 introduces the concept of a least upper bound. Section 5 looks at how least upper bounds can be used to define arithmetic operations on the set of real numbers...This free course is an introduction to...

...2 introduces an algebraic notation for recording symmetries and calculating composites and inverses of symmetries. Section 3 introduces definitions and looks at how to check axioms for a group. Section 4 looks at how to prove that some properties of groups already looked at are general properties shared by all groups. Section 5 extends the ideas of symmetry to...

...2 discusses Newton’s laws of motion, which predict the motion of an object when the forces acting on it are known. Section 3 shows how Newton’s second law of motion can be used to predict the motion of objects. Section 4 concerns modelling some of the forces that occur in nature, which enables more realistic situations to be analysed. Section 5 looks at motion in more...

...2). This is a vehicle that travels around the surface of Mars semi-autonomously, collecting samples and analysing them, then sending the data back to Earth. Such a system is clearly making use of signal processing and communication, but it is also using control subsystems to move the vehicle around. [Described image] Figure 2 Mars Rover Systems that use signal processing,...