Final answer:
The best way for a technician to assist Joe is by backing up the old mobile device to a PC and importing the contacts and schedule from the PC.
Step-by-step explanation:
The BEST way for a technician to assist Joe in copying his contacts and appointments from his corporate account without entering them manually would be option C - Back up the old mobile device to a PC, and import the contacts and schedule from the PC.
By backing up the old mobile device to a PC, Joe can ensure that all his contacts and appointments are safely saved in one place. He can then import them to his new device without the need for manual entry. This method is efficient and avoids the risk of losing any important information.
Additionally, option A - logging into the same email provider on the new device and restoring the contacts and dates - could also be a viable solution if the email provider offers a backup and restore feature. However, option C is generally considered to be the more reliable and convenient method.