1,045 prompts matching "The logarithm of the base itself"
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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
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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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 magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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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'
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Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Real-life application of the quadratic formula
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Real-life application of the remainder theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re
Real-life application of the binomial theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi