Aparticle starts at the point (−3, 0), moves along the x-axis to (3, 0), and then along the semicircle y = 9 − x2 to the starting point.

use green's theorem to find the work done on this particle by the force field f(x, y) = 3x, x3 + 3xy2 .

The spotter on the ground is standing beneath the safety net. what is his distance from the base of the platform, to the nearest meter? 3 meters, 2 meters, 4 meters, 1 meter?

Which is equivalent to 10/12? options: 10/18 5/6 3/12 9/11

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.