Find the average value of f (x,y, z) = x* + y³ +z* over Q. Q is the cube in the 1st octant bounded by the coordinate planes and x = 4, y = 4, and z = 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hi, I need help on answering these three questions below. Not sure where to start or how to do them at all.

Find the average value of f (x, y, z) = x* + y³ + z* over Q. Q is the cube in the
1st octant bounded by the coordinate planes and x =
4, y = 4, and z = 2.
Rewrite in dxdydz form but do not evaluate
1 3(1–2) 3(1–-2)
dydxdz
0 0
Evaluate ſſ, x² In(y + 1) dA where R = [0,1] x [0,1].
R
Transcribed Image Text:Find the average value of f (x, y, z) = x* + y³ + z* over Q. Q is the cube in the 1st octant bounded by the coordinate planes and x = 4, y = 4, and z = 2. Rewrite in dxdydz form but do not evaluate 1 3(1–2) 3(1–-2) dydxdz 0 0 Evaluate ſſ, x² In(y + 1) dA where R = [0,1] x [0,1]. R
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