1,332 prompts matching "Explain line-curve intersection conditions back to me"
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Solving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
Function notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu
Give me a past-paper style question bank for coordinate geometry
I am in SS 3. Give me a bank of four exam-style questions on lines and circles in coordina
Worked Example: Taking a common factor out of a matrix
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Worked Example: What a determinant of nought means for a 2 by 2 matrix
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Worked Example: The identity that A times its adjoint gives the determinant times the identity
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Worked Example: The weight of a body as mass times g
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Worked Example: Drawing the polygon of forces to scale
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Worked Example: Matching each force to the sine of the angle opposite it
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Worked Example: The distance between two points in three dimensions
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Worked Example: Finding the unit vector in the direction of a given vector
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Worked Example: The position vector of the midpoint of AB
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Worked Example: The triangle law of vector addition
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Worked Example: Testing two vectors for perpendicularity
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Worked Example: Differentiating a bracket raised to a power
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Explain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Worked Example: The discriminant, and what each of its three cases means
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Worked Example: The number of arrangements of n different objects in a row
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Worked Example: The parametric form of a point on a parabola
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