1,045 prompts matching "The conjugate shown on an Argand diagram"
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
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: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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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)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the equation of a circle with centre (2,-1) and radius 4
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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: 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
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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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 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
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