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) \(9 \sqrt { 311 }\)

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