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Senior Secondary

Further Mathematics

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1,334 prompts matching "Teach me conditions for a line and a curve to intersect"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Practice: The magnitude of the sum of two vectors

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the magnitude

Practice: A vector of stated magnitude in a given direction

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st

Spot My Mistake: The vector from A to B as the difference of two position vectors

Act as my SS3 Further Mathematics tutor. Work a question on the vector from A to B as the

Practice: The dot product as the magnitudes times the cosine of the angle

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the dot produc

Worked Example: The powers of i, and the cycle they follow

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Quiz: The product of a complex number and its conjugate

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Practice: The sum of a complex number and its conjugate

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Quiz: The argument of a complex number

Act as my SS3 Further Mathematics tutor and quiz me on the argument of a complex number. A

Practice: The argument of a complex number in the second or third quadrant

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Practice: The addition of complex numbers shown on an Argand diagram

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WAEC Prep: The polar form written as r cos theta plus i r sin theta

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the polar form wri

WAEC Prep: Multiplying two complex numbers in polar form

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying two co

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

Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

Act as my SS3 Further Mathematics tutor. Work a question on deriving a multiple angle form

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

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Practice: Differentiating sin x and cos x

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Worked Example: The quotient rule for differentiation

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Quiz: Why the power rule fails for the integral of one over x

Act as my SS3 Further Mathematics tutor and quiz me on why the power rule fails for the in

WAEC Prep: The area under a straight line checked by a trapezium

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the area under a s

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