1,045 prompts matching "The logarithm of one, in any base"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Summarise trigonometric identities and equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise sequences and series for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise differentiation for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise surds for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Give me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Worked Example: Sentences that are not propositions
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on senten
Quiz: Why a conditional with a false antecedent counts as true
Act as my SS2 Further Mathematics tutor and quiz me on why a conditional with a false ante
Practice: What logical equivalence means
Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e
Worked Example: What a contradiction is
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on what a
Worked Example: Premises and conclusion
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on premis
Practice: Modus tollens
Act as my SS2 Further Mathematics tutor. Give me five practice questions on modus tollens,
Spot My Mistake: Disjunctive syllogism
Act as my SS2 Further Mathematics tutor. Work a question on disjunctive syllogism with one