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Further Mathematics

AI prompts for senior secondary learners.

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Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,158 prompts matching "Find k command word: line tangent to a curve"

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

Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Quiz: The tangent curve and its asymptotes

Act as my SS3 Further Mathematics tutor and quiz me on the tangent curve and its asymptote

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Common Mistakes: The condition for a line to be a tangent to a circle

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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