The combustion of ethanol, c2h5oh(l), in oxygen to form carbon dioxide gas and water vapor is shown by which balanced chemical equation?
a) c2h5oh(l) + o2(g) → co2(g) + h2o(g)
b) c2h5oh(l) + 3o2(g) → 2co2(g) + 3h2o(g)
c) 2co2(g) + 3o2(g) → c2h5oh(l) + 3h2o(g)
d) 2co2(g) + 3h2o(g) → c2h5oh(l) + 3o2(g)

Aspring with a mass of 2 kg has a damping constant 14 kg/s. a force of 3.6 n is required to keep the spring stretched 0.3 m beyond its natural length. the spring is stretched 0.6 m beyond its natural length and then released. find the position of the mass at any time t. (assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)

At time t=0, a particle is located at the point (3,6,9). it travels in a straight line to the point (5,2,7), has speed 8 at (3,6,9) and constant acceleration 2i−4j−2k. find an equation for the position vector of the particle.

You have a pick-up truck that weighed 4,000 pounds when it was new. you are modifying it to increase its ground clearance. when you are finished