Find the Absolute Maximum and Minimum Values of the Function $$\text { Function: } f ( x , y ) = x ^ { 2 } + y ^ { 2 } ; \text { curve: } x = 5 t + 1 , y = 5 t - 1,0 \leq t \leq 1 \text {. }$$

question 65

Multiple Choice

Find the absolute maximum and minimum values of the function on the given curve.
- $$\text { Function: } f ( x , y ) = x ^ { 2 } + y ^ { 2 } ; \text { curve: } x = 5 t + 1 , y = 5 t - 1,0 \leq t \leq 1 \text {. }$$

• A) Absolute maximum: 52 at t = 1; absolute minimum: 2 at t = 0.
• B) Absolute maximum: 51 at t = 1; absolute minimum: 6 at t = 0.
• C) Absolute maximum: 51 at t = 1; absolute minimum: 2 at t = 0.
• D) Absolute maximum: 52 at t = 1; absolute minimum: 6 at t = 0.

---

Definitions:

Collection Indorsement

An endorsement on a negotiable instrument, such as a check or promissory note, that specifies the particular person to whom the payment is to be made.

Fictitious Payee Rule

A principle in commercial law that protects the drawer of a check if the check is made payable to a non-existent or not intended recipient, under certain conditions.

Bookkeeper

A person responsible for recording the financial transactions and maintaining the financial records of a business.

Negotiable Instruments

Written documents that guarantee the payment of a specific amount of money to the bearer or to a specific person, under certain conditions.