Monthly Archives: December 2022

Accuracy of approximation of sin(x) (Lagrange form of the remainder)

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AP Calculus: Derivative of Inverse (Proof and practice questions)

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Power series of 1/x and ln(x) centered at 1

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AP Calculus: Interval of convergence

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IB HL Logarithms Practice

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IB SL Paper 1 Practice

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IB Probability

The letters of the word PROBABILITY are written on 11 cards as shown below. Two cards are drawn at random without replacement. Let A be the event that the first card drawn is letter A. Let B be the even … Continue reading

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IB Probability, Independent and not mutually exclusive events question

Events A and B are independent. Given that P(B)=2P(A) and P(AUB)=0.52, find P(B).

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Mod m is an equivalence relation

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Probability IB HL (Baye’s Theorem application)

An influenza virus is spreading through a city. A vaccination is available to protect against the virus. If a person has had the vaccination, the probability of catching the virus is 0.1; without the vaccination, the probability is 0.3. The … Continue reading

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