1,036 prompts matching "Structured question: solve an exponential equation using indices"
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
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: 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: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Give me a 5-minute recap of indices and surds
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co
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: classify a line-curve relationship
I am in SS 2. Give me three short parts, each with a different line and the same curve, as
IGCSE Additional Maths Y11: A Cambridge-style tangent and normal question — Exam Technique
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle
IGCSE Additional Maths Y11: A Cambridge-style question on an enclosed area — Exam Technique
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle
IGCSE Additional Maths Y11: What to do when a question cannot be started — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
WAEC question on permutations and combinations
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style word problem t
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
WAEC question on sequences and series
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ar
WAEC question requiring completing the square
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question that
Give me practice solving cubic equations
Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel
Give me practice on the equation of a circle
Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the
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