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Attempt Questions 11–14 Allow about 1 hour and 45 minutes for this section - HSC - SSCE Mathematics Extension 1 - Question 3 - 2018 - Paper 1

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Attempt Questions 11–14 Allow about 1 hour and 45 minutes for this section

Worked Solution & Example Answer:Attempt Questions 11–14 Allow about 1 hour and 45 minutes for this section - HSC - SSCE Mathematics Extension 1 - Question 3 - 2018 - Paper 1

Step 1

Part A: Define the term 'A'

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Answer

The term 'A' in this context typically represents a variable or a placeholder in mathematical or logical expressions. It could denote an element of a particular set, an algebraic expression, or even a specific value depending on the framework or discipline being discussed.

Step 2

Part B: Explain the significance of 'A' in current applications

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In many applications, such as computer science, statistics, or mathematics, 'A' can serve various purposes. For instance, in linear algebra, 'A' may denote a matrix which is crucial for performing transformations or solving systems of equations. In programming, 'A' could represent an object or a class instance, showcasing its versatility depending on the context.

Step 3

Part C: Provide an example of 'A' in use

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An example of 'A' could be seen in the equation of a straight line, given by the formula:

y=Ax+By = Ax + B

Here, 'A' represents the slope of the line, indicating the rate of change of 'y' with respect to 'x'. This highlights the role of 'A' in determining the behavior of the equation.

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