1,045 prompts matching "Showing that fg(x) is not the same as gf(x)"
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Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
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
Worked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
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 multiplying two complex numbers in the form a plus bi
You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the
Teach me the finding the modulus of a complex number
You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number
Teach me the condition two matrices must meet before they can be multiplied
You are my SS2 Further Mathematics tutor. Teach me the condition two matrices must meet be
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 finding the determinant of a two by two matrix
You are my SS2 Further Mathematics tutor. Teach me the determinant of a two by two matrix,
Spot my mistake finding a matrix inverse
Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made
Teach me finding the magnitude of a vector
Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
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
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Spot my mistake calculating standard deviation
Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Test me under exam conditions on the binomial theorem
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th
Explain why Further Maths topics connect to each other
Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=