1,043 prompts matching "Expanding a 3 by 3 determinant along the first row"
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Practice: Factorising a quadratic with a common factor taken out first
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
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
Show All Working: Completing the square with a fractional coefficient of x
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the
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
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Practice: Finding the matching value of the second unknown
Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma
Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Practice: The condition for the line to be a tangent
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition