4. Let C be the circle x² + y2 = 4 and let D be the region enclosed by C (we have C = aD). Consider the vector field F =
Posted: Thu May 12, 2022 10:15 am
4. Let C be the circle x² + y2 = 4 and let D be the region enclosed by C (we have C = aD). Consider the vector field F = ln(y2 +1)i + ln(r2 +1).j. (a) Write the work done by F along C as an integral of a function in terms of u and y in ds(C). (b) Write the work done by F along C as an integral of a function in terms of u and y in dA(D). (c) Write the work done by F along C as an iterative integral in polar coordinates dr and de. (d) Evaluate the integral in part (d).