Evaluate the Surface Integral $\iint _ { S } x d S$

question 235

Multiple Choice

Evaluate the surface integral $\iint _ { S } x d S$ , where S is that part of the plane $z = x$ that lies above the square with vertices $( 0,0 ) , ( 1,0 ) , ( 0,1 )$ , and $( 1,1 )$ .

• A) \(1\)
• B) \(\sqrt { 2 }\)
• C)\(\sqrt { 3 }\)
• D)2
• E)\(\frac { \sqrt { 2 } } { 2 }\)
• F)\(\frac { \sqrt { 3 } } { 2 }\)
• G)\(\frac { \sqrt { 2 } } { 3 }\)
• H) \(\frac { \sqrt { 3 } } { 3 }\)

---

Definitions:

Psychoanalysis

A therapeutic approach and theory of psychology developed by Sigmund Freud, focusing on unconscious processes and unresolved conflicts from the past.

Unconscious Motives

Drives or desires that influence an individual's behavior or decisions without their conscious awareness.

Cognitive Processes

Mental activities involved in acquiring, storing, retrieving, and using information, including perception, memory, thinking, and problem-solving.

Psychotherapy

A form of treatment for mental health issues that involves talking with a therapist to understand and overcome problems.