Evaluate the surface integral ∫∫s f · ds for the given vector field f and the oriented surface s. in other words, find the flux of f across s. for closed surfaces, use the positive (outward) orientation. f(x, y, z) = x i + y j + 10 k. s is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 8.

Use the divergence theorem.

The div theorem says the integral of across is equal to the integral of over the region with boundary (call it ):

Convert to cylindrical coordinates:

Then the integral is

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: