1,329 prompts matching "Equation of a line given gradient and one point"
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Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Worked Example: The associative law for the product of three matrices
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Worked Example: Taking a common factor out of a matrix
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Learn: The distributive law for a scalar over a sum of matrices
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Worked Example: A singular matrix, and why it has no inverse
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Quiz: Finding an unknown entry from a stated matrix equation
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Worked Example: What a determinant of nought means for a 2 by 2 matrix
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Learn: The effect on a determinant of swapping two rows
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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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Learn: Solving two simultaneous equations by Cramer's rule
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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix
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Learn: The order of the steps in inverting a 3 by 3 matrix
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Quiz: Solving three simultaneous equations with the inverse matrix
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Worked Example: The weight of a body as mass times g
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Learn: Converting a weight given in kilogram-force into newtons
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Worked Example: The direction of the resultant of two forces
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Learn: The resultant of two perpendicular forces
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Quiz: The magnitude of the resultant of several coplanar forces
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