1,012 prompts matching "A unit vector, and what makes it a unit"
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Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Give me practice on indices and surds
Act as my SS2 Further Maths tutor. Give me eight practice questions mixing laws of indices
Teach me the laws of logarithms
Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Give me practice solving logarithmic equations
Act as my SS2 Further Maths tutor. Give me six practice logarithmic equations to solve, at
Spot my mistake checking a logarithmic solution against the domain
Act as my SS2 Further Mathematics tutor. Work a question on checking a logarithmic solutio
Explain logarithm laws back to me
Act as my SS2 Further Maths tutor. I'll explain the laws of logarithms in my own words, an
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Explain trigonometric identities back to me
Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and
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: finding a term in an arithmetic progression
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Worked example: sum to infinity of a geometric series
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Give me practice on sequences and series
Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Give me practice on differentiation and stationary points
Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn
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
Teach me dividing complex numbers by rationalising with the conjugate
You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi