Aladder 26 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. when the firefighter has climbed up 6 feet of the ladder, the ladder makes an angle of π/3 with the ground. answer the two related rates questions below. (hint: use two carefully labeled similar right triangles.)

A150 w lamp emits light of wavelength 590 nm uniformly in all directions. what is the photon flux (photons per unit area per unit time) on a small screen at a distance 2.3 m from the lamp? assume the photons are uniformly distributed over the surface of a sphere of radius 2.3 m.

Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z direction.

The bubbles in a carbonated soft drink are produced when carbonic acid decomposes to form carbon dioxide and water. in a closed system, this equilibrium exists as why does a carbonated soft drink lose carbonation when the container is left open? a.water evaporates, which favors the formation of h2co3. b.pressure decreases, which favors the formation of h2co3. c.the open container warms up, which causes more gas to escape. d.co2is removed, which favors the formation of h2co3.