1,045 prompts matching "the change of base formula in a calculation"
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Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Teach me the laws of indices at Further Maths level
Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
Teach me the equation of a straight line
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi
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: 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
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 finding the determinant of a 2x2 matrix
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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,
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
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the inverse of [[2,1],[5,3]]
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple