1,334 prompts matching "Writing the result of a polynomial division out in full"
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Quiz: The direction cosines of a vector 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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Practice: The dot product as the magnitudes times the cosine of the angle
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Quiz: The vector equation of the line through two given points
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Learn: The real and the imaginary parts of a complex number
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Practice: The argument of a complex number in the second or third quadrant
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Spot My Mistake: Finding the constant of integration from a given point
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Quiz: Why the power rule fails for the integral of one over x
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Learn: Connected rates of change through the chain rule
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Practice: The conservation of momentum in a collision
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Quiz: Newton's third law, and identifying the pair of forces
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Worked Example: Power as the rate of doing work
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Learn: The kinetic energy of a moving body
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Practice: The sum to infinity of a convergent geometric series
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Quiz: The general term of a binomial expansion
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Find the transpose of a 3x3 matrix
I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us