Based on the options provided, the grammatically correct option is missing. However, let's analyze the options:
* "will be sent" implies David is being sent somewhere against his will or without his knowledge. This doesn't usually fit the context of traveling to New York.
* "is send" is grammatically incorrect. The correct form would be "is sending" but it is not provided here.
* "will sent" is grammatically incorrect. It should be "will send" or "will be sent".
Assuming there was a typo and one of the options was meant to be 'will send', then the correct answer would be:
"David will send to New York next week" is incorrect.
The more appropriate answer, which is not available but should have been, is:
"David is going to New York next week."
"David will go to New York next week."
Because the options are not good, I cannot with certainty choose one.