If the assumption of responsibility is terminated, the person who had assumed responsibility shall so notify the department in writing within 30 days of the termination. The original completed departmental form documenting the assumption shall be provided to the department within 30 days of the assumption. That copy shall be presented upon request by an authorized employee of the department. A legible copy shall be carried in each vehicle or combination of vehicles operated on the highway during the period for which responsibility is assumed. A person who assumes the motor carrier responsibilities of another pursuant to subdivision (b) shall provide to that other person whose motor carrier responsibility is so assumed, a completed copy of a departmental form documenting that assumption, stating the period for which responsibility is assumed, and signed by an agent of the assuming person. If not so assumed, the registered owner is the motor carrier. If the operation is exclusively under the authority and direction of another person, that other person may assume the responsibilities as the motor carrier. (2) The registered owner operates the vehicle exclusively under the authority and direction of another person. If the lease is for more than four months, the lessee is the motor carrier. (1) The registered owner leases the vehicle to another person for a term of more than four months. (a) Notwithstanding Section 408, as used in this section and Sections 34505.5.6, 'motor carrier' means the registered owner of a vehicle described in subdivision (a), (b), (e), (f), or (g) of Section 34500, except in the following circumstances:

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