Suppose A = (2y + 3)i + xzj + (yz - x)k. evaluated S A. dr along the following C trajectories: a) x = 2t², y = t, z = t³ of t=0 to t=1 b) The straight line that goes from (0,0,0) to (0,0,1), which then goes to (0,1,1) and then to (2,1,1). c) The straight line that joins the point (0,0,0) with (2,1,1).
Suppose A = (2y + 3)i + xzj + (yz - x)k. evaluated S A. dr along the following C trajectories: a) x = 2t², y = t, z = t³ of t=0 to t=1 b) The straight line that goes from (0,0,0) to (0,0,1), which then goes to (0,1,1) and then to (2,1,1). c) The straight line that joins the point (0,0,0) with (2,1,1).
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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Step 1: Given the vector field
VIEWStep 2: Now, the line integral is given by
VIEWStep 3: (b) First we find the parametric equations
VIEWStep 4: Now,using the parametric equation to find the line integral
VIEWStep 5: (c) first ,we find the parametric equation
VIEWStep 6: The line integral is given by
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