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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Restricting the domain so an inverse exists"

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

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

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Worked example: converse and inverse of a statement

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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Give me practice on converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a

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Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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Give me common mistakes students make in polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2log(x) = log(x+6) +

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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