For each function f(x, y,z), determine whether its gradient points radially outward from the origin, radially inward toward the origin, radially outward from the z-axis, or radially inward toward the z-axis.1. f(x, y,z) = x^2 + y^2(a) Points radially outward from the origin (b) Points radially inward toward the origin (c) Points radially outward from the z-axis

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.

Find the dimensions of the circle. area = 64π in.² r= in.

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?