972 prompts matching "Condition for two lines to be perpendicular"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Give me common mistakes students make in complex numbers
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Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
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 <=
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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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: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: construct the truth table for (p AND q) OR (NOT p)
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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: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of the quadratic formula
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu
Real-life application of complex numbers
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Real-life application of biconditional statements
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where bicond