1,334 prompts matching "Quiz me on why negation reverses every truth value"
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Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Find the resultant of several concurrent forces #1
Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a
Find the resultant of several concurrent forces #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
Find the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
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: finding the argument in the correct quadrant
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Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
Worked Example: The intersection of two overlapping sets
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Worked Example: Testing whether a binary operation is closed on a given set
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WAEC Prep: Completing a Cayley table for an operation on a small set
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Show All Working: Solving an equation written in terms of a binary operation
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Quiz: Multiplying two surds and simplifying the result
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Worked Example: The discriminant, and what each of its three cases means
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WAEC Prep: Forming an equation whose roots are each two more than the original
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
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