2 out of 3
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
2 out of 3
Consider these questions concerning inverting rational functions
2 out of 3
Can you make all of these statements about averages true at the same time?
2 out of 3
By proving these particular identities, prove the existence of general cases.
2 out of 3
Discover how networks can be used to prove Euler's Polyhedron formula.
2 out of 3
Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?
3 out of 3
Can the pdfs and cdfs of an exponential distribution intersect?
3 out of 3
Given that a, b and c are natural numbers show that if sqrt a+sqrt b is rational then it is a natural number. Extend this to 3 variables.
3 out of 3
Show that x = 1 is a solution of the equation x^(3/2) - 8x^(-3/2) = 7 and find all other solutions.
3 out of 3
Show that there are infinitely many rational points on the unit circle and no rational points on the circle x^2+y^2=3.
