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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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

Modulus, argument and the Argand diagram #1

I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an

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Modulus, argument and the Argand diagram #2

I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod

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Modulus, argument and the Argand diagram #3

I am in SS 3. Give me a complex number problem where I must, for z = 1 - i, express it in

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Modulus, argument and the Argand diagram #4

I am in SS 3. Give me a complex number problem where I must, for z = -3 - 4i, find the mod

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

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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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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Integration practice question #1

I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +

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Integration practice question #2

I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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Spot my mistake using the product rule

I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ

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Kinematics: equations of motion practice #1

I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in

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Kinematics: equations of motion practice #3

I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a

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Kinematics: equations of motion practice #4

I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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