1,281 prompts matching "Series exam question with show all working"
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Quiz: The direction cosines of a vector in three dimensions
Act as my SS3 Further Mathematics tutor and quiz me on the direction cosines of a vector i
Spot My Mistake: The vector from A to B as the difference of two position vectors
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Explain Back: The dot product of two perpendicular vectors
I have just studied the dot product of two perpendicular vectors in my SS3 Further Mathema
Quiz: The vector equation of the line through two given points
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Explain Back: The resultant of forces given as vectors
I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics
Spot My Mistake: The equilibrium condition written in vector form
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Quiz: Subtracting one complex number from another
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Spot My Mistake: Dividing one complex number by another using the conjugate
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Quiz: The product of a complex number and its conjugate
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Quiz: The argument of a complex number
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Explain Back: The locus of a complex number at a fixed distance from a point
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Quiz: Writing a complex number in polar form
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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
Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem
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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
Explain Back: Differentiating tan x
I have just studied differentiating tan x in my SS3 Further Mathematics class. Let me expl
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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Quiz: Why the power rule fails for the integral of one over x
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