1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
Teach me the laws of logarithms
Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,
Teach me the equation of a straight line
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi
Teach me the equation of a circle
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its
Explain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
Teach me solving trigonometric equations
Act as my SS2 Further Maths tutor. Teach me how to solve a trigonometric equation such as
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Quiz me on trigonometric identities
Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
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
Teach me finding stationary points
Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom
Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Explain matrices back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a
WAEC question on matrices
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ma
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Create flashcard questions for Further Maths topics
Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =
Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +