1,044 prompts matching "Practice: Equating real and imaginary parts to find two unknowns"
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Explain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Quiz me on arranging objects round a circle when two must sit together
Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Explain combinatorial probability back to me
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Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
Worked example: finding the middle term of a binomial expansion
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Quiz me on the binomial expansion of a bracket raised to the power four
Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Worked example: rationalising a binomial surd denominator
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Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
WAEC question on indices and surds
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Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Explain logarithm laws back to me
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Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
Explain trigonometric identities back to me
Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and
Worked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a