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Further Mathematics

AI prompts for senior secondary learners.

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1,331 prompts matching "Teach me dividing complex numbers by rationalising with the conjugate"

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

Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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WAEC Prep: Multiplying a complex number by a real number

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

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WAEC Prep: Dividing by a purely imaginary number

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through dividing by a pure

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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WAEC Prep: The geometric meaning of adding two complex numbers

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the geometric mean

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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

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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

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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

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

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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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

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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