“The crisis began around 10 am yesterday when a 10-foot wide pipe in Weston sprang a leak, which worsened throughout the afternoon and eventually cut off Greater Boston from the Quabbin Reservoir, where most of its water supply is stored. . .Before water was shut off to the ruptured pipe [at 6:40 pm], brown water had been roaring from a massive crater [at a rate of] 8 million gallons an hour rushing into the nearby Charles River.”

Let r(t) be the rate in gallons/hr that water flowed from the pipe t hours after it sprang its leak.

Which is larger:

Transcribed Image Text:

2 [²₁ 0 4 or [₁ 2 r(t) dt or r(t) dt?