evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y, z) = (x y2) i xz j (y z) k, r(t) = t2 i t3 j − 2t k, 0 ≤ t ≤ 2

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters

Find each value of the five-number summary for this set of data. [note: type your answers as numbers. do not round.] 46, 19, 38, 27, 12, 38, 51 minimum maximum median upper quartile lower quartile

Determine if this is a solution to the system