You are using a central finite difference to approximate a second derivative, with the recursion formula Yi-1-2yi+Yi+1 y" For Ax = Ax2 = 0.27, what order of magnitude do you expect the error of this approximation to be?

Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.

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.

Determine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.