5. Find the angular speed in radians/second associated with rotating a central angle of in 10 seconds. Round your answer to the nearest tenth. 0.9 radians/second 1.5 radians/second 1.1 radians/second 0.6 radians/second

An energy efficient hard drive has a 1.25 inch radiu and spins at 6000 rpm.     Find the angular speed in radians per minute.  Leave your answer in exact form.

6. The "hyperbolic trigonometric functions" are specific combinations of ex- ponential functions that appear in application frequently enough that they have their own names. For example, the "hyperbolic cosine function" is given by et +e- cosh r the "hyperbolic sine function" is given by - e sinh x = 2 and the "hyperbolic tangent function" is given by sinh x tanh x = cosh x (a) Use the definitions above to show that d tanh a dx 1 cosh? x (b) The velocity of a water wave with length L moving across a body of water with depth d is given by gL ( 2nd tanh 27 V = L where g represents the acceleration due to gravity (a positive constant). What happens to the velocity as the wave length increases without bound? That is, evaluate lim v Hint: Find lim v² first, and then use that to answer the question above. L00

Express the angular speed in radians per second. 20 revolutions per second