Chapter 11

A fighter aircraft is launched from the deck of a Nimitz-class aircraft carrier with the help of a steam catapult. If the aircraft is to attain a takeoff speed of at least \(240 \mathrm{ft} / \mathrm{sec}\) after traveling \(800 \mathrm{ft}\) along the flight deck, find the minimum acceleration it must be subjected to, assuming it is constant.

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. If \(F\) and \(G\) are antiderivatives of \(f\) on an interval \(I\), then \(F(x)=G(x)+C\) on \(I\).

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. If \(f\) and \(g\) are integrable, then \(\int f(x) g(x) d x=\) \(\left[\int f(x) d x\right]\left[\int g(x) d x\right]\)