Which one is correct?
"notable weakness" or "heavily damajed"?

Some examples from the web:

• You're clearly smart and have notable instincts.
• Your intonation is notable And your attack very satisfactory.
• The most notable case is Andrew Symeou.
• We paid tribute to our notable husbands' notable deaths through the miniature medium of diorama.
• A notable Spanish adventure that ended in... catastrophe.
• The authors of that notable instrument intended to include all men.
• He's a notable conqueror and a prolific breeder.
• With 227 inhabited islands in Greece, the island phenomenon is a notable feature of the country.
• The committee on Petitions has enjoyed a number of notable successes.
• And they have some notable alumni.
• Enhancements have been known to add sensory abilities or a notable increase in intelligence.
• Your notable deaths, just name a year.
• And it makes me notable by the loss.
• Another notable success by your loyal order.
• You have a notable habit of celebrating early.
• No increased anxiety, no notable signs of...
• Notable side effect, green urine.
• One of the most notable psychologists involved was a man named Dr. Eliot Davis Aden.
• OK, I found something notable on Lancaster.
• Small films sometimes can have notable actors.

Some examples from the web:

• Cells are heavily damaged, most totally deformed.
• In Jabalia they are attacking heavily, very heavily.
• In heavily catholic, and heavily latino Miami.
• When the other Alec came through here, the machinery was heavily damaged.
• Unfortunately, the files were heavily damaged during the ship's trek to Earth.
• We're still looking for the precise cause, but the skull was heavily damaged.
• Cities like Denver and South Lake are heavily damaged but still all right.
• All ships within a half a mile of the blast were heavily damaged.
• The building was heavily damaged by fire.
• Sir, Yorktown was heavily damaged at Coral Sea.
• Suspected of killing heavily protected witnesses and five innocent bystanders.
• Station Orange code is heavily encrypted.
• Two heavily armed, very powerful warships.
• This Sanctuary is the most heavily fortified.
• There is a buyer investing heavily in their shares.
• The Lockwood house was heavily fortified.
• Your murder weighs heavily on him.
• Miles, heavily armed, multiple knives.
• Modern societies are heavily dependent on transport.
• Data in heavily pretreated protease inhibitor experienced patients are limited.