Question 7 Not yet answered Marked out of 1.00 | Flag question A sphere of radius 3 is centered on the origin. Consider the region R that consists of the octant of this sphere with : > 0, y > 0 and = > 0. Select the option that gives the volume integral of the function yz over the region R expressed in spherical coordinates. Select one: of sindcose de sing de far for sin Goose de sing do La f sindcost de sing do of war for sindcost dosing do Question 9 Not yet answered Marked out of 1.00 | Flag question Consider the velocity field v = -y itx jtak. Evaluate the divergence and curl of this field at the point (2, 1, 1) and use your answers to select the two options that describe the behaviour of v in the immediate vicinity of (2, 1, 1). Select one or more: A flow corresponding to an anticlockwise rotation about the z-axis when viewed from the positive z- axis. No net inflow or outflow. A flow corresponding to no rotation about the z-axis. JA net outward flow. O A net inward flow. A flow corresponding to a clockwise rotation about the z-axis when viewed from the positive z-axis. 0 0 0 Question 11 Not yet answered Marked out of 1.00 " Flag question A path C is defined by the parametric equations x(t) =+, y(t) =t, Osts1, and a vector field is defined by the equation F = ryi + j. Enter the value of the line integral / F . ds in the box below (rounded to two decimal places). Answer: 0