1,001 prompts matching "Forming an equation whose roots are alpha over beta and beta over alpha"
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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
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
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Give me practice on sequences and series
Act as my SS2 Further Maths tutor. Give me eight practice questions on arithmetic and geom
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
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
Worked example: plotting a complex number on an Argand diagram
Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num
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
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
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Teach me mean, variance and standard deviation
Act as my SS2 Further Maths tutor. Teach me how to calculate the mean, variance and standa
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Quiz me on mean and standard deviation
Act as my SS2 Further Maths tutor. Quiz me with three data sets and ask me to calculate th
Explain standard deviation back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what standard deviation me
Create a revision plan for polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Help me create a short revision plan for polynomials an