Please mark correct statements A) The requirement for curve formula is that f\'n

Question

Please mark correct statements A) The requirement for curve formula is that f'needs to be continuous on closed interval [a,b] L B) Length of the curve is calculated as a limit of its partition in segments C) With square root being part of the arc length formula task of finding anti-derivative may not be easy. If exact analytical solution is unavailable there always is numerical approximation D) Arc length of the curve between two endpoints is the shortest distance between those points E) Incremental segment is calculated by change in x and change in y variables based on Pythagorean theorem

Explanation / Answer

C is correct .as shortest distance between two points is called line not arc length so D is wrong .and c is correct because formula of arc length is given by s= integration a to b sqrt (1+(dy/dx)^2)dx . so its integral cannot be easily find out and we use numerical approximation in some cases.

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