1,215 prompts matching "Multi-part algebraic manipulation exam question"
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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
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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
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Practice: Differentiating x squared from first principles
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Explain Back: Differentiating one over x from first principles
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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
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
Spot My Mistake: Classifying a stationary point by the second derivative
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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
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Quiz: Why the power rule fails for the integral of one over x
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Learn: An area lying below the x-axis, and its sign
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Learn: Finding displacement by integrating velocity
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Quiz: Using the initial conditions to fix the constants in a kinematics problem
Act as my SS3 Further Mathematics tutor and quiz me on using the initial conditions to fix
Learn: Connected rates of change through the chain rule
You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro