For the pair of functions, find the indicated domain.f(x) = , g(x) = 2x + 6Find the domain of f ? g.

A. (-?, -3] ? [0, ?)
B. [-3, ?)
C. [0, ?)
D. (-?, ?)


Answer: B

Mathematics

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Find the divergence of the field F.F = 36xz5i + 3yj - 6z6k

A. 36z5 + 3 B. 72z5 + 3 C. 72z5 D. 3

Mathematics

Find the equation of the tangent plane (or tangent "hyperplane" for a function of three variables) at the given point p.f(x, y) = , p = (1, -1, -5).

A. 10x + 10y + z = -5 B. x + y + 5z = -5 C. 5x + 5y + z = -10 D. 5x + 5y + z = -5

Mathematics

Answer the given question by setting up and solving the appropriate proportion. If necessary, round the answer to two decimal places.Two separate sections of a roof have the same slope. If the rise and run on one section are, respectively, 2.0 m and 4.7 m, what is the run on the other section if its rise is 5.0 m?

A. 3.6 m B. 11.75 m C. 12.75 m D. 4.6 m

Mathematics

Add or subtract as indicated. Write the answer in simplest form. + 

A.
B.
C.
D.

Mathematics