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

I still do not understand how to interpret theorems about definite integral into actual exercises. Please do question 1, 3, 5 as examples while explaining the concepts. Thank you!

Find the zeros of f(x) = x² + sinz. Use Newton's Method to approximate to at least 8 decimal places any zeros that cannot be found analytically. V

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