M1M1 Treasure Hunt

Welcome to the M1M1 treasure hunt!


This quiz is not for course credit, but I hope it will be fun. Each week I shall produce a page such as this with a number of questions relating to the course. Entering the correct answers (in any order) will automatically decrypt a message giving a clue to the mystery M1M1 treasure.

The treasure hunt should work on most standard browsers, but you will need to have javascript enabled. Please e-mail me if there are any errors. The encryption algorithm is fairly secure - it is certainly MUCH easier just to answer the questions than to crack it.

This week is fairly introductory, to demonstrate the technology. Type the answer to each question in the box below it and press "return" after each answer - you will be told whether or not each answer is right. When all answers are correct, you will receive the first of the treasure clues.

a) What is the coefficient of x4 in the expansion of (2−x)7 ?

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b) If t is such that −10 < t < 10, what is the maximum value attained by the polynomial 17 − t2 + 2t3− t4 ?


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c) What is the integral between x=0 and x=2 of 1/(4+x2)? (Write your answer as a decimal rounded to four decimal places, e.g. 0.1234 .)

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