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Problem 1 Consider the paraboloid shown below defined by the equation z = x² + y² 2.0 1.5 1.0 0.5 0.0 -1.0 05 0.0 0.5 10-1.0 X- 1.0 0.0 -as y 0.5 Q1.1 Calculate the differential dz. Q1.2 Starting with the differential above, integrate it to calculate Az starting at (x, y = 1,1) and ending at (x, y = 2,2). Do this in two parts by first changing x from 1 to 2 at y = 1, and then changing y from 1 to 2 at x = 2, as shown below. Step 1 Step 2

Problem 1 Consider the paraboloid shown below defined by the equation z = x² + y² 2.0 1.5 1.0 0.5 0.0 -1.0 05 0.0 0.5 10-1.0 X- 1.0 0.0 -as y 0.5 Q1.1 Calculate the differential dz. Q1.2 Starting with the differential above, integrate it to calculate Az starting at (x, y = 1,1) and ending at (x, y = 2,2). Do this in two parts by first changing x from 1 to 2 at y = 1, and then changing y from 1 to 2 at x = 2, as shown below. Step 1 Step 2

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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Problem 1 Consider the paraboloid shown below defined by the equation z = x² + y² 201 1.5 1.0 0.5 0.0 -1.0 -0.5 0.0 * 0.5 H /0.0 10-1.0 Step 1 1.0 05 و که Q1.1 Calculate the differential dz. Q1.2 Starting with the differential above, integrate it to calculate Az starting at (x, y = 1,1) and ending at (x, y = 2,2). Do this in two parts by first changing x from 1 to 2 at y = 1, and then changing y from 1 to 2 at x = 2, as shown below. coper Step 2 +
Transcribed Image Text:Problem 1 Consider the paraboloid shown below defined by the equation z = x² + y² 201 1.5 1.0 0.5 0.0 -1.0 -0.5 0.0 * 0.5 H /0.0 10-1.0 Step 1 1.0 05 و که Q1.1 Calculate the differential dz. Q1.2 Starting with the differential above, integrate it to calculate Az starting at (x, y = 1,1) and ending at (x, y = 2,2). Do this in two parts by first changing x from 1 to 2 at y = 1, and then changing y from 1 to 2 at x = 2, as shown below. coper Step 2 +
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