This problem consists of three questions.  A two-story frame…

This problem consists of three questions.  A two-story frame structure is shown in the figure below. The structure has four beams on the first floor and two beams on the second floor that support a slab. The slab on the first floor is uniform and the slab on the second floor has a skylight hole cut in the center.  There are four columns on each floor. Each floor carries 100 pounds per square foot (psf), which includes the weight of the slab.   

The function  f(x,y){“version”:”1.1″,”math”:”f(x,y)”} has a…

The function  f(x,y){“version”:”1.1″,”math”:”f(x,y)”} has a gradient vector equal to the zero vector at five separate points. Use the given table of values to classify each point as the location of a local maximum, local minimum, saddle point, or a point where the second derivative test fails. (Selections can be used more than once; all selections need not be used.)