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Senior Secondary

Further Mathematics

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755 prompts matching "The constant of integration, and why it appears"

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Learn: What an identity element is

You are my personal SS1 Further Mathematics tutor. Teach me what an identity element is fr

Show All Working: An element with no inverse under a given operation

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Common Mistakes: Checking an inverse by working the operation both ways

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Final Revision: Evaluating a numerical expression using the index laws

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Common Mistakes: Writing a root as a fractional index before simplifying

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Final Revision: Converting an answer back out of index form

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Quiz: Evaluating log to base 3 of 7 by change of base

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Show All Working: Comparing logarithms given in different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Final Revision: Using change of base to prove a stated relation

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Learn: What a sequence is, and what a term means

You are my personal SS1 Further Mathematics tutor. Teach me what a sequence is, and what a

Learn: What makes a sequence an arithmetic progression

You are my personal SS1 Further Mathematics tutor. Teach me what makes a sequence an arith

Common Mistakes: An arithmetic progression with a negative common difference

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Final Revision: Inserting an arithmetic mean between two numbers

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Common Mistakes: Proving the sum formula by pairing the terms

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