1,043 prompts matching "Why the total area under the normal curve is one"
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Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Teach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Explain permutations and combinations back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per
Quiz me on probability with combinations
Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Explain matrices back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers