1,043 prompts matching "Classifying a stationary point by the second derivative"
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Simplify the surd expression sqrt(72) + sqrt(18)
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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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
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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
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
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Final Revision: A word problem solved by factorising a quadratic
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Show All Working: Completing the square with a fractional coefficient of x
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Common Mistakes: Checking a completed square by expanding it again
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