1,044 prompts matching "Why the limit is taken as h tends to nought"
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Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Quiz me on probability with combinations
Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
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
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Teach me finding stationary points
Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom
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
Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Real-life application of quadratic equations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where quadra