Find the Area of the Surface $z = 4 - x ^ { 2 } - y ^ { 2 }$

question 37

Multiple Choice

Find the area of the surface. The part of the surface $z = 4 - x ^ { 2 } - y ^ { 2 }$ that lies above the xy-plane.

• A) \(( \sqrt { 17 } - 17 )\)
• B) \(\frac { 1 } { 6 }\) \(\pi ( 17 \sqrt { 17 } - 1 )\)
• C) \(\frac { 1 } { 6 }\) \[( \sqrt { 17 } + 1 )\]
• D) \(\pi ( 17 \sqrt { 17 } - 1 )\)
• E) \(\frac { 1 } { 6 }\) \(( 17 \sqrt { 17 } + 1 )\)

---

Definitions:

Erogenous Zones

Erogenous zones are areas of the body that have heightened sensitivity and can generate sexual pleasure when stimulated.

Unconditional Positive Regard

A term used in client-centered therapy to describe a clinician's acceptance and support of a client regardless of what the client says or does.

Carl Rogers

An influential American psychologist who founded the client-centered approach to psychotherapy, emphasizing empathy, unconditional positive regard, and the client's potential for self-actualization.

Healthy Personality Development

Healthy personality development involves the growth and maturation of an individual's personality traits in a way that fosters well-being and effective coping skills.