SOLUTION: If the height of a sea gull is shown to follow the function h(t)=3sin(π/8t)+15 where t is seconds and h is in metres, estimate the instantaneous rate of change at t = 3.

Algebra ->  Functions -> SOLUTION: If the height of a sea gull is shown to follow the function h(t)=3sin(π/8t)+15 where t is seconds and h is in metres, estimate the instantaneous rate of change at t = 3.      Log On


   

Question 1205128: If the height of a sea gull is shown to follow the function h(t)=3sin(π/8t)+15 where t is seconds and h is in metres, estimate the instantaneous rate of change at t = 3.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


the instantaneous rate of change is a slope , so derivate h%28t%29=3sin%28%28pi%2F8%29t%29%2B15
using calculator, you get
h'%28t%29+=+%283%2F8%29pi%2Acos%28%28pi%2A+t%29%2F8%29
plug in t=3
h'%28t%29+=+%283%2F8%29pi%2Acos%28%28pi%2A3%29%2F8%29=0.45 => answer