1,045 prompts matching "De Morgan's law that the complement of a union is the intersection of the comple"
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Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Quiz me on the testing two statements for logical equivalence
Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
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
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
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
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Spot my mistake checking a logarithmic solution against the domain
Act as my SS2 Further Mathematics tutor. Work a question on checking a logarithmic solutio
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Explain trigonometric identities back to me
Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Quiz me on mean and standard deviation
Act as my SS2 Further Maths tutor. Quiz me with three data sets and ask me to calculate th
Give me practice on measures of dispersion
Act as my SS2 Further Maths tutor. Give me five practice questions on calculating variance
Explain standard deviation back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what standard deviation me
Create a revision plan for the binomial theorem
Act as my SS2 Further Maths tutor. Help me create a short revision plan for the binomial t
Create a revision plan for trigonometric identities and equations
Act as my SS2 Further Maths tutor. Help me create a short revision plan for trigonometric
Test me under exam conditions on quadratic equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu
Test me under exam conditions on propositional logic
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on pr