Putnam 1970 B2
Source: Putnam 1970
May 17, 2022
Putnamalgebrapolynomial
Problem Statement
The time-varying temperature of a certain body is given by a polynomial in the time of degree at most three. Show that the average temperature of the body between am and pm can always be found by taking the average of the temperatures at two fixed times, which are independent of the polynomial. Also, show that these two times are am and pm to the nearest minute.