1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"
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Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Worked example: plotting a complex number on an Argand diagram
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Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Quiz me on vector operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and
Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Practice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o
Practice: Negation combined with a compound statement
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Practice: What logical equivalence means
Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e
Practice: Modus tollens
Act as my SS2 Further Mathematics tutor. Give me five practice questions on modus tollens,
Practice: A selection that must include one particular member
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a selection th