1,045 prompts matching "Equating the rational and the irrational parts of an equation"
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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
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
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 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 distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
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: 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: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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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 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
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Substituting a, b and c into the quadratic formula correctly
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Quiz: Finding the sum and the product without solving the equation
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Worked Example: Substituting into the quadratic and tidying up
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Quiz: The leading term and the constant term
Act as my SS2 Further Mathematics tutor and quiz me on the leading term and the constant t
Quiz: Disjunction and the inclusive or
Act as my SS2 Further Mathematics tutor and quiz me on disjunction and the inclusive or. A