1,045 prompts matching "The position vector of a point dividing a line in a ratio"
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Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Explain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
Teach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Explain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Teach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be