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Let S be the portion of the cylinder yequalse Superscript 2 x in the first octant that projects parallel to the x-axis onto the rectangle Upper R Subscript yz: 1 less than or equals y less than or equals 4, 0 less than or equals z less than or equals 2 in the yz-plane (see the accompanying figure). Let Bold n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field Bold Upper F left parenthesis x comma y comma z right parenthesisequals5 Bold i minus 2 y Bold j minus z Bold k across S in the direction of Bold n.