Opener #1 (which you took as #2)

When it says find the value of k for which f has 11 as its relative minimum:
You need to use your answer from part (a) here. In part (a), you figured out the intervals where the function in increasing. You most likely also drew a sign chart, and from that, you should be able to see where a minimum occurs. This occurs when x = 3. This means that f (3) = 11. Because we are told 11 is it's relative minimum (value). This minimum occurs when x = 3. Plug the numbers in to find k.