1,044 prompts matching "The focus-directrix definition shared by all the conics"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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)
Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
Simplify the surd expression sqrt(72) + sqrt(18)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18
Simplify the surd expression sqrt(50) - sqrt(8)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)
Simplify the surd expression (3+sqrt2)(3-sqrt2)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)
Simplify the surd expression 5/(1+sqrt3)
Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra
Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
WAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Explain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Common Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem