Estimate the integral 1-1 + (2) dx by using appropriate Simpson's rule in dx. which the function y = cos(x) with a = -1 and b = 1 and n = = 9.

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Use the composite trapezoidal rule with the step length h = 0.1 to evaluate   in six decimal places.

Determine the constants a and b such that                                                       sin x + cos x = a sin(x + b).                                                                                Use this result to integrate   ∫ dx /( sin x + cos x) .