899 prompts matching "Comparing arithmetic and geometric growth over time"
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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: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can a president and secretary be chosen from 8 people
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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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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Real-life application of sequences and series
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen
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
Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
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+
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Give your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r