401 prompts matching "Checking a Cramer's rule solution by substituting back"
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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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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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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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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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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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Real-life application of quadratic equations
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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 polynomials
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Real-life application of the remainder theorem
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Real-life application of cubic equations
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Real-life application of propositional logic
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