The relationship for the linear expansion of a solid, given by l-li + al s, is a valid approximation when aar is smal. laar is large, one must integrate the relationship d-a·87 to determine the final length. a) find a general expression for the firal length ly of a rod with an initial length її that unde its length vanes. (use the folong as necessary: l., and δη es a temperature change δ, assuming its coement ani esra pansiona is co stana, (b) the rod's initial length is 1.40 m, its temperature change is b0.0 c, and its a - 2.0010c)o typical value for a metal), what is the percent ermor caused by the approximation compared to the exact formula found in part (a)? (c) for the same length and temperature change as in part (b), what is the percent ermor caused by the approximation when 0,0200 c)-1 can unrealistically large value for comparison)?

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

Uppose we consider the system of the three capacitors as a single "equivalent" capacitor. given the charges of the three individual capacitors calculated in the previous part, find the total charge qtot for this equivalent capacitor. express your answer in terms of v and c.

Select the correct lewis structure for fluorine which is group 7a element?