Confirm that the force field F is conservative in some open connected region containing the points P and Q, and then find the work done by the force field on a particle moving along an arbitrary smooth curve in the region from to P and Q. F(x, y)= 2xy^3i + 3x^2y^2 j; P(-9,4), Q(10,5)

Do you agree with scientist’s prediction about the warming of alaska and other polar regions?

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. the athlete is able to rotate the ball at the rate of 8.13 rev/s when the length of the chain is 0.600 m. when he increases the length to 0.900 m, he is able to rotate the ball only 6.04 rev/s. (a) which rate of rotation gives the greater speed for the ball? 6.04 rev/s 8.13 rev/s (b) what is the centripetal acceleration of the ball at 8.13 rev/s? m/s2 (c) what is the centripetal acceleration at 6.04 rev/s? m/s2

How much energy will be transferred to your eardrum while listening to this sound for 1.0 min?