1,045 prompts matching "Find the centre and radius from x^2+y^2-6x+8y-11=0"
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Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Explain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Teach me finding the magnitude of a vector
Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Create a revision plan for polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Help me create a short revision plan for polynomials an
Summarise polynomials and the remainder/factor theorems for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Give me common mistakes students make in polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
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 inverse of [[2,1],[5,3]]
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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: 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
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)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo