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Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f ds (ii) So For each of the above, answer the following questions: a) In words, what does the integral represent? b) Re-write the integral in the form we use to actually evaluate it (i.e. functions of t everywhere) c) For (ii) and (iii), re-write the integral in "scalar differential form." This is the form involving M, N, P and dx, dy, dz. F. dr (iii) [F F.nds

Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f ds (ii) So For each of the above, answer the following questions: a) In words, what does the integral represent? b) Re-write the integral in the form we use to actually evaluate it (i.e. functions of t everywhere) c) For (ii) and (iii), re-write the integral in "scalar differential form." This is the form involving M, N, P and dx, dy, dz. F. dr (iii) [F F.nds

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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Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f (ii) So (iii) So f ds F. dr F.nds For each of the above, answer the following questions: a) In words, what does the integral represent? b) Re-write the integral in the form we use to actually evaluate it (i.e. functions of t everywhere) c) For (ii) and (iii), re-write the integral in “scalar differential form." This is the form involving M, N, P and dx, dy, dz.
Transcribed Image Text:Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f (ii) So (iii) So f ds F. dr F.nds For each of the above, answer the following questions: a) In words, what does the integral represent? b) Re-write the integral in the form we use to actually evaluate it (i.e. functions of t everywhere) c) For (ii) and (iii), re-write the integral in “scalar differential form." This is the form involving M, N, P and dx, dy, dz.
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