MathDB

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

9

am and

3

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

10\colon \! 16

am and

1\colon \!44

pm to the nearest minute.

B2

Problems(1)