Simplify the expression

a. 3
b. 0
c. -9
d. -81


c. -9

Mathematics

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Find the flux of the curl of field F through the shell S.F = 4zi - 3xj + 5yk ; S: r(r, ?) = r cos ?i + r sin ?j + 3rk, 0 ? r ? 3 and 0 ? ? ? 2?

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 3, y = 4, and z = 2, direction is outward

A. 108 B. 216 C. 54 D. 36

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Determine the number of outcomes as requested.Two 6-sided dice are thrown. Determine the number of ways that a score of either 3 or 4 can be obtained.

A. 4 B. 2 C. 5 D. 3

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Determine whether the terms are like or unlike.15 and -13

A. like B. unlike

Mathematics