Evaluate the work done between point 1 and point 2 for the conservative field F. Here you can assume that the vector field is conservative - no need to check it F = (y+z)i + xj + xk; P1(0, 0, 0), P2(9, 6, 7) OW=54 OW=-9 OW=117 OW=0

5.26 please

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1. 10 m C 0 10 m A large conical tank is to be formed from a circular piece of sheet metal of radius 10 meters by cutting out a sector with vertex angle and then welding together the straight edges of the remaining piece. In this problem, you will ultimately determine the value of the vertex angle of the sector that is to be removed in order to maximize the tank's volume. Join & weld these edges together. Figure 2 10m h Figure 1 (a) It is evident that the slant height of any conical tank, so constructed, must necessarily be 10 meters. Express the volume, V, of any cone with slant height 10m as a function of only its altitude, h. Hint: Apply the Pythagorean Theorem to relate r to h (see Figure 2) and recall: V Cone = (Base Area) × (height). (b) Use your result from (a) and the properties of the derivative to find the altitude, h, of the conical tank having slant height 10m and maximal volume. Also, specify the radius, r, and the circumference of the base, CBases of this maximal conical…

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