1,043 prompts matching "Adding two vectors given in component form"
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: expand (x+2)^5 fully using the binomial theorem
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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: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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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 remainder theorem
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Real-life application of combinations
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Real-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Real-life application of the binomial theorem
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Real-life application of indices
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where indice
Real-life application of coordinate geometry
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where coordi
Real-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a