Proof ) State the Green's formula. ) With the Green's formula, prove that the area of the plane domain (a) bounded by a piecewise smooth simple closed curve (C') is A == f[xdy-ydr]. (+C)
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- Prove of divergence in detail please.Sketch the region in the xy-plane defined by the inequalities x - 2y2 ≥ 0, 1 - x -| y| ≥ 0, and find its area.Find all points in the xy-plane with integer coordinates located at adistance 5 from the origin. Then find all points with integer coordinateslocated at a distance 5 from (2, 3).
- Don't copy from the website , i need free Plagiarism answer Find the simple closed curve of a given parameter which encloses a maximum areaSketch the graph of the given equation in the image. Shade the region bounded by the resulting curves or lines, and give the coordinates of all points of intersection that lie on the boundary.Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 < x < π2 and find its area.
- This multfunction apparently has a local maximum in addition to a local minimum and two saddle points. I cannot find the local maximum, please show work and explain.Aside from Extreme Value Theorem (EVT), there is another theorem behind optimization, the Fermat’s Theorem: Let f be a continuous function on an open interval I where c is in I. If f has an extremum at c, then c must be a critical number of f. Expound this theorem.Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x