Got the strategy guide last night, here's what it says:
Slay the Yian Kut-Ku: Be sure to bring a Pitfall Trap, materials to make 2 more Pitfall Traps, at least 3 Lg Barrel-Bombs (and 1 Gunpowder to make another with the Barrel you're given), and some Sm Barrel-Bombs. Lay out the Pitfall Trap, put some Lg BBs on it, then bait the Yian Kut-Ku over (by letting it spot you, probably). When it falls in, set off the Lg BBs with a Sm BB, then nail the Yian Kut-Ku while it's disoriented. Mark it with a Paintball so you can track it, too. Use Flash Bombs to blind the Yian Kut-Ku once it's free of the trap, then hit it again until it's dead or escapes. If it escapes, repeat the process in whatever area it's moved to until death occurs. The guide says the Yian Kut-Ku will try to escape to its nest (Area 5 in Forest/Hills, Area 6 in Jungle) when near death, so that's where you'll probably end up killing it.
Trouble in the Forest: Run around the Bullfangos at normal speed, dodging when necessary, and get them to charge into each other. They'll eventually kill themselves off, or weaken to the point where you can easily take out the remaining Bullfangos.
The Formidable Velocidrome: Use a Flash Bomb to blind/disorient the pack of Velociprey that their leader calls, then run in and slash the Velocidrome. Then, just dodge its attacks and retaliate when able, as with other raptor types. Use a Painball to mark it too, when it tries to flee to regain health.
Carving Spots on Wyverns: Yes, the book tells you where to carve, how many times you can carve, what items you get for carving for both "early" and "later" quests, and what % an item is likely to be carved on the first and second carving.
Large Bones and Wyvern Fangs: Large Bones can be carved from Rathian, Monoblos, Gravios, and Basarios. They can be traded from the Forest Elder in Area 7; give him either a Blos Fang or Dragonite Ore. I don't... see any spots where they can be found on the map. There are probably a bunch of quests where they're given as a reward, but there're a ton of those in the book and I can't look through them all right now.
Same goes for Wyvern Fangs; they're probably given as rewards for quests.
EDIT: *UPDATE* There's an offline 4-star quest called "The Land Shark" that requires you to kill a Cephadrome. According to the guide, there's a 10% chance that one of your reward items will be a Lg Monster Bone. I think that's the earliest you can earn one in offline mode.
Also, the offline 4-star quest called "Slay the Cypceros" has a 25% chance of giving up 3 Wyvern Fangs as a reward for completion.
Weapon Sharpness: I didn't see anything in the strategy guide on sharpness.
If you've got the money go ahead and buy the strategy guide, people. It's not 100% accurate (Herb + Honey does not equal a Mega Potion, there's incomplete and duplicate weapon data, and pictures are improperly labeled), but GameFAQs will take forever to get all this info.