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Calculate the flux out of a box at the origin

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Reference no: EM131614885

Question: Assume r→ = 0 . Let F→ = r→/||r→||3.

(a) Calculate the flux of F→ out of the unit sphere x2 + y2 + z2 = 1 oriented outward.

(b) Calculate div F→. Simplify your answer completely.

(c) Use your answer to parts (a) and (b) to calculate the flux out of a box of side 10 centered at the origin and with sides parallel to the coordinate planes. (The box is also oriented outward.)

Reference no: EM131614885

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