1,045 prompts matching "The laws of logarithms for a product and for a quotient"
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WAEC question on sum and product of roots
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question invol
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
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
Create a revision plan for logarithms and indices
Act as my SS2 Further Maths tutor. Help me create a short revision plan for logarithms and
Summarise polynomials and the remainder/factor theorems for quick revision
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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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 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
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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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 sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Give me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula