1,044 prompts matching "What Cramer's rule gives when the system is inconsistent"
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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: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Real-life application of completing the square
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Real-life application of the quadratic formula
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Real-life application of the remainder theorem
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Real-life application of the binomial theorem
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Real-life application of measures of dispersion
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Real-life application of the factor theorem
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Real-life application of testing the validity of an argument
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Real-life application of the condition for a line to be tangent to a curve
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Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta