Find the Area of the Lateral Surface Over the Curve $z = f ( x , y )$

question 1

Multiple Choice

Find the area of the lateral surface over the curve C in the xy-plane and under the surface $z = f ( x , y )$ where Lateral surface area $= \int _ { c } f ( x , y ) d s$ .
$f ( x , y ) = 9$ , C: line from $( 0,0 )$ to $( 12,13 )$

• A) \(9 \sqrt { 309 }\)
• B) 0
• C) \(9 \sqrt { 315 }\)
• D) \(9 \sqrt { 313 }\)
• E) \(9 \sqrt { 311 }\)

---

Definitions:

Credit

An accounting entry that either decreases assets or increases liabilities and equity on a company's balance sheet, depending on the transaction.

Cash Account

An account recording all transactions involving cash, including receipts and payments.

Credit

A bookkeeping entry that represents a decrease in assets or an increase in liabilities, or it can refer to the provision of goods or services in exchange for future payment.

T Account

A graphical representation of a ledger account, used in accounting to depict debits and credits.