376 prompts matching "Showing distributivity fails by a counter-example"
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WAEC Prep: Expanding a bracket by the binomial theorem
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
WAEC Prep: The remainder when a polynomial is divided by a quadratic
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WAEC Prep: Dividing a polynomial by a linear divisor by long division
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Quiz: The remainder theorem, and the remainder on dividing by x minus a
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Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Worked example: 3x3 matrix multiplication
I am in SS 3. Show me one fully worked example of multiplying two 3x3 matrices with every
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Worked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Worked example: differentiating using the quotient rule
I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi
Worked example: finding the matrix of cofactors and the adjugate
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Worked example: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Worked example: finding the argument in the correct quadrant
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Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Worked Example: The intersection of two overlapping sets
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Common Mistakes: Showing that intersection distributes over union
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Worked Example: Testing whether a binary operation is closed on a given set
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec