1,045 prompts matching "The half angle formulae and the t-substitution"
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Worked example: find the distance between the points (1,2) and (4,6)
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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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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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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Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Find the range of values command word: quadratic inequality
I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Halving the coefficient of x and squaring it
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Quiz: Finding the sum and the product without solving the equation
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