A buoy floating in the ocean is bobbing in simple harmonic motion with amplitude 7 ft and period 5 seconds. Its displacement d from sea level at time t = 0 seconds is 0 ft, and initially it moves downward. (Note that downward is the negative direction.) Give the equation modeling the displacement d as a function of time t.

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Is the figure congruent? yes or no?

What are the values of each variable in the diagram below?