for calculus

Math 1A The Extended Mean Value Theorem 2. In engineering we are often concerned with ac' (t ) how multiple parts of a machine work to- ... gether. Imagine we have two components x (t) which are meant to be moving in sync. This means that the ratio of their veloc- y' (t) ities should be one. Unfortunately some- ... thing has gone wrong and they are not at y(t) the same positions at the same time. If the ratio of their velocities is ever greater than 1.5 the machine will fail. Both components are tested separately and their respective positions are given by the following graphs. Explain why the machine is doomed to failure. Position Position = x(t) Position = y(t) Time