1,045 prompts matching "The determinant of a product as the product of the determinants"
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Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: arranging letters of a word
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the number of
Worked example: probability of selecting a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
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
Give me practice on the binomial theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
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
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Summarise polynomials and the remainder/factor theorems for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise the binomial theorem for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
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) +
Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)