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Evaluate Sf(x,y,z)dS\iint _ { S } f ( x , y , z ) d S

question 151

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Evaluate Sf(x,y,z) dS\iint _ { S } f ( x , y , z ) d S
f(x,y,z) =x+y;Sf ( x , y , z ) = x + y ; S is the part of the plane 2x+4y+3z=242 x + 4 y + 3 z = 24 in the first octant.

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Definitions:

Mental Hygiene Movement

An early 20th-century initiative aimed at improving mental health through prevention, early treatment, and the humane care of those with mental illness.

19th Century

The period from January 1, 1801, to December 31, 1900, marking the nineteenth century in the Gregorian calendar.

Technology-Delivered Psychotherapy

Therapeutic services provided via technological platforms, such as online, mobile apps, or virtual reality, to improve mental health.

Mental Health Professionals

Trained individuals who provide services aimed at improving an individual's mental health and well-being.

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