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
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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