The first leg of Ima's journey lies along the line passing through the origin, with slope -1...so using the point-slope formula can you determine the...
Let $g(x) = f(x) - 0.5x$. Can you use the given information (together with the intermediate value theorem and Rolle's theorem) to show that $g'(c) =...
There are two things you need, both of which depend on the "mean value theorem". First, directly from the mean value theorem, since the slope of the...
Since you only need to kill three of the four dragons, the obvious strategy is to not fight the dragon where you only have a 0.4 chance of winning. ...