1,032 prompts matching "Teach me Cramer's rule from first principles"
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Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom
Quiz me on basic differentiation
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Quiz me on the whole term's Further Maths topics
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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Explain Back: Finding a missing coefficient from a stated sum of roots
I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur
Spot My Mistake: Finding a missing coefficient from a stated product of roots
Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient
Final Revision: Using a symmetric function to find an unknown coefficient
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Quiz: Solving the quadratic that results from the substitution
Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results