Find the Centroid of the Region Bounded by the Graphs $$y = 10 - x ^ { 2 } , \quad y = 2 - 2 x$$

question 56

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations.
$$y = 10 - x ^ { 2 } , \quad y = 2 - 2 x$$

• A) \(( 0,1 )\)
• B) \(\left( \frac { 18 } { 5 } , 1 \right)\)
• C) \(\left( 1 , \frac { 18 } { 5 } \right)\)
• D) \(( 1,0 )\)

---

Definitions:

Major Depression

A health problem concerning the mind, manifested by constant sorrow or a decreased zeal for activities, which majorly hampers regular life proceedings.

Antidepressant Drugs

Medications used to treat depressive disorders, anxiety disorders, chronic pain conditions, and to help manage some addictions.

Therapeutic Alliance

The collaborative bond between a therapist and client, crucial for effective therapy.

Therapeutic Outcome

The result or effect of a treatment on a patient, typically measured in terms of improvement, stabilization, or progression of a condition.