MATH 112 Midterm: MATH 112 BYU KeyF2010A
Document Summary
X2 + 1 x = lim x lim x ( x2 + 1 x)( x2 + 1 + x) X2 + 1 + x (b) (4 points) find lim x . Solution: x ln(x) x2 lim x using l"hopital"s rule. x ln(x) x2 = lim x ln x x. = 0: (5 points) compute the de nite integral z 2. 10: (5 points) you own an emu ranch, and want to build a rectangular fence around your herd. One side of the fence must be built along the side of a river so the emu"s have access to fresh water. You want to enclose at least 1000 square meters. The fencing material costs 6 dollars per meter, but the fencing along the river costs 10 dollars per meter (to allow the emu to drink the water). Solution: let x be the length along the river while y is the length perpendicular to it.
