A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0), but for x >  0, it is found that

Assuming the oil slick is continuously distributed, how thick would you expect it to be at the source?

Transcribed Image Text:

0.5(x² + 3x) x³ + x² + 4x