Steve herr is an architect in minneapolis, minnesota. his latest project is designing a park. on the blueprint, the park is determined by a plane which contains the points at (1,0,3).(2,5,0), and (3,1,4). one of the features of the park is a monument that must be perpendicular to the ground. find the nonzero vector, representing the monument, perpendicular to the plane defined by the given points.

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =

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