Determine the maximum angular displacement 𝜃max and the rate of change of 𝜃 when t = 5 seconds. (Round your answers to three decimal places.)

Question

A 13-centimeter pendulum moves according to the equation 𝜃 = 0.28 sin(9t), where 𝜃 is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement 𝜃_max and the rate of change of 𝜃 when t = 5 seconds. (Round your answers to three decimal places.)

𝜃'(5) =?

Answer 1

Bella,

Don't let the particulars create a fog--local max here is where f' = 0 and f" < 0

and absolute/global max is either local max or one/both of endpoints

Can you find the derivative?

Hope this helps--Andrew F.