1,045 prompts matching "Structured question: find the equation of a normal to a curve"
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Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Spot my mistake in a binomial expansion
Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the
Worked example: proving a trigonometric identity
Act as my SS2 Further Maths tutor. Show me a full worked example of proving 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
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Give me practice on sequences and series
Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom
Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom
Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Spot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Teach me adding and subtracting complex numbers
Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com
Give me practice on complex numbers
Act as my SS2 Further Maths tutor. Give me eight practice questions on complex numbers, in
Spot my mistake multiplying two complex numbers in modulus-argument form
Act as my SS2 Further Mathematics tutor. Work a question on multiplying two complex number
Spot my mistake dividing two complex numbers in modulus-argument form
Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i
Teach me what a matrix is
Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its
Teach me adding and subtracting matrices
Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o
Quiz me on matrix operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting and
Give me practice on matrices
Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de