A cylindrical metal specimen having an original diameter of 12.8 mm (0.505 in.) and gauge length of 50.80 mm (2.000 in.) is pulled in tension until fracture occurs. The diameter at the point of fracture is 8.13 mm (0.320 in.), and the fractured gauge length is 74.17 mm (2.920 in.). Calculate the ductility in terms of percent reduction in area and percent elongation.

Section 6.1 - Areas Between Curves Class Notes Even and Odd Functions 1. Even Function: Even functions are symmetrical about the . 2. Odd Function: Odd functions are symmetrical about the . De▯nite Integrals 1. If f(x) is an even function, then Z Z Z a a 0 f(x) dx = 2 f(x) dx = 2 f(x) dx ▯a 0 ▯a 2. If f(x) is an odd function, then Z a f(x) dx = 0 ▯a Section 6.1 - Areas Between Curves