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3. Let D be the closed triangular area that lies on the plane 2x+y+z= 4 in the first octant r≥ 0, y ≥ 0, z 20. Let f be the function f(r, y, z) = xyz. O 49 (a) Draw a picture of D. What is the largest value of f on the boundary 8D (which consists of the three edges of the triangle surrounding D). Z

3. Let D be the closed triangular area that lies on the plane 2x+y+z= 4 in the first octant r≥ 0, y ≥ 0, z 20. Let f be the function f(r, y, z) = xyz. O 49 (a) Draw a picture of D. What is the largest value of f on the boundary 8D (which consists of the three edges of the triangle surrounding D). Z

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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octant r≥ 0, y ≥ 0, z 20. Let f be the function f(r, y, z) = xyz. 3. Let D be the closed triangular area that lies on the plane 2x+y+z= 4 in the first (a) Draw a picture of D. What is the largest value of f on the boundary OD (which consists of the three edges of the triangle surrounding D). Z 2x+y+z=4 2(1) + 1+1=4 largest value of х 4=4 2 (0,0,1) (1,00) (0,2 (0,1,0) y
Transcribed Image Text:octant r≥ 0, y ≥ 0, z 20. Let f be the function f(r, y, z) = xyz. 3. Let D be the closed triangular area that lies on the plane 2x+y+z= 4 in the first (a) Draw a picture of D. What is the largest value of f on the boundary OD (which consists of the three edges of the triangle surrounding D). Z 2x+y+z=4 2(1) + 1+1=4 largest value of х 4=4 2 (0,0,1) (1,00) (0,2 (0,1,0) y
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