Problem of the Fortnight
March 7: Natural Numbers and Their Digits
Answers are due by 5:00 PM on Friday, March 7. Please show all of your work. Good Luck!
February 14: Finding the Center of My Heart
A heart shape is formed from a square with sides 2 units long and two half-circles of radius 1 unit (see figure). Where should the heart be placed in the Cartesian plane so that the origin is at the center of the heart, i.e. so there is the same amount of area in each of the four quadrants? Answers are due by 5:00 PM on Friday, February 14. Please show all of your work. Happy Valintines Day!