Express the integral f(x, y, z) dv e as an iterated integral in six different ways, where e is the solid bounded by the given surfaces. y = x2, z = 0, y + 4z = 16 −4 x2 f(x, y, z) dz dy dx 0 0 − y f(x, y, z) dz dx dy 0 0 0 f(x, y, z) dx dz dy − y 0 0 f(x, y, z) dx dy dz − y −4 0 f(x, y, z) dy dz dx x2 0 − 16−4z f(x, y, z) dy dx dz x2

Which of these tables represents a non-linear function?

Apool measures 12.3 feet by 16.6 feet. if the longer wall of the pool has a diagonal of 17.8 feet, what is the volume of the pool? (round to nearest tenth)

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.