1,130 prompts matching "multi-part coordinate geometry question"
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Explain Back: The locus of a complex number at a fixed distance from a point
I have just studied the locus of a complex number at a fixed distance from a point in my S
Quiz: Writing a complex number in polar form
Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f
Practice: Converting a complex number from polar form back to a plus bi
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c
Explain Back: Raising a complex number to a power by de Moivre's theorem
I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Quiz: The roots of a complex number shown on an Argand diagram
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Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Explain Back: Forming a quadratic equation with given complex roots
I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe
Practice: Differentiating x squared from first principles
Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin
Explain Back: Differentiating one over x from first principles
I have just studied differentiating one over x from first principles in my SS3 Further Mat
Practice: Differentiating sin x and cos x
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Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
Worked Example: The quotient rule for differentiation
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Learn: Choosing between the product rule and the quotient rule
You are my personal SS3 Further Mathematics tutor. Teach me choosing between the product r
Worked Example: Differentiating a bracket raised to a power
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Spot My Mistake: Classifying a stationary point by the second derivative
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Explain Back: The constant of integration, and why it appears
I have just studied the constant of integration, and why it appears in my SS3 Further Math
Spot My Mistake: Finding the constant of integration from a given point
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Learn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term