1,235 prompts matching "A tautology used to justify a rule of algebra"
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Worked Example: Power as the rate of doing work
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Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
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
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: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Spot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
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: 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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Final Revision: Counting the number plates or codes that can be formed under a rule
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Final Revision: Combinations used with the addition and multiplication principles
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Worked Example: The shape, period and range of the cosine curve
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Worked Example: The equation of a circle with a given centre and radius
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Worked Example: The parametric form of a point on a parabola
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