77 prompts matching "Distinguishing gradient sign: positive, negative, zero, undefined"
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WAEC Prep: De Moivre's theorem used with a negative index
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WAEC Prep: Solving a quadratic whose discriminant is negative
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Learn: An area lying below the x-axis, and its sign
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Practice: The sign convention for displacement, velocity and acceleration
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Explain the zero matrix in matrix algebra
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Explain why a matrix with zero determinant has no inverse
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Quiz: Solving a quadratic inequality using a sign table
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Quiz: The gradient of the line through two points
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Practice: The equation of a line through a point with a given gradient
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WAEC Prep: Proving two given lines parallel from their gradients
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Show All Working: Proving two given lines perpendicular from their gradients
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Common Mistakes: The angle between two lines found from their gradients
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Worked Example: The sign convention for clockwise and anticlockwise moments
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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
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