The tide depth in Deep Cove, British Columbia, from 04:00 to 15:00 on January 6, 2011, is shown by the following polynomial function:
f(t)= 0.001t^3 + 0.55t^2+0.854t+0.293
Where f(t) is the tide depth in metres and t is the number of hours after midnight.
Use the calculator features to determine the tide depth at 10:00 on January 6th.
To find the tide depth at 10:00 on January 6th, we need to substitute t=10 into the polynomial function:
f(10) = 0.001(10)^3 + 0.55(10)^2 + 0.854(10) + 0.293
f(10) = 0.001(1000) + 0.55(100) + 0.854(10) + 0.293
f(10) = 1 + 55 + 8.54 + 0.293
f(10) = 64.833
Therefore, the tide depth at 10:00 on January 6th is approximately 64.833 meters.