What is the period of the forced oscillation? what is the numerical value (modulo 2π) of the angle α defined by (4)? (b) in this question you are asked to modify the file lab06ex1.m in order to plot the complementary solution of (1), that is, the first term in (2). first define in the file the angle α (alpha) using (4), then evaluate the complementary solution yc by subtracting the quantity c cos(ωt − α) from the numerical solution y. plot the resulting quantity. does it look like an exponentially decreasing oscillation? why or why not? include the modified m-file and the corresponding plot.

True or false: the cycle of seasons on the earth is caused by the tilt of the earth on its axis toward and away from the sun.

What is the relationship between atmospheric pressure and the density of gas particles in an area of increasing pressure? (2 points) as air pressure in an area increases, the density of the gas particles in that area decreases. as air pressure in an area increases, the density of the gas particles in that area increases. as air pressure in an area increases, the density of the gas particles in that area remains constant. as air pressure in an area increases, the density of the gas particles in that area increases and decreases in an alternating pattern. 3. which of the following correctly describes a way in which earth's atmosphere interacts with the geosphere? (2 points) it contains gases that living organisms breathe. it contains gases that trap incoming solar radiation. it provides a medium for cycles that provide nutrients to living organisms. it provides a medium for water to move between earth's surface and the air. 4. which of the following is considered a drawback to using wind energy as a source of power? (2 points) wind energy is nonrenewable. wind energy produces large amounts of air pollution. wind turbines can kill birds that fly through the rotors. wind turbines are built too close to major population centers. 5. a meteorologist predicts that the weather in a region will soon change from clear skies to probable thunderstorms. prior to making this prediction, what did the meteorologist most likely observe on a barometer? (2 points) the barometer fell slightly. the barometer fell substantially. the barometer rose slightly. the barometer rose substantially. 6. which of the following do meteorologists not typically use weather balloons to record? (2 points) atmospheric pressure cloud types humidity temperature 7. during which step in the can crush lab did water vapor force air from the can? (2 points) the can was filled nearly to the top with water. the can was placed on the hot stove top burner for several minutes. the can was removed from the hot stove top burner. the can was placed upside-down in the water-filled pan.

Suppose a comet has an orbital period of 309.1 years around the sun. what is it’s average distance from the sun?