Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid  and the xy-plane.

A.  = 0,  = 0,  = 3
B.  = 0,  = 0,  = 12
C.  = 0,  = 0,  = 2
D.  = 0,  = 0,  = 18


Answer: B

Mathematics

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Write the vector v in terms of i and j whose magnitude  and direction angle ? are given. = 10, ? = 120°

A. v = -5i + 5j
B. v = 5i - 5j
C. v = -5i + 5j
D. v = 5i - 5j

Mathematics

Simplify the expression.-8 + 4(-2) - 13

A. -47 B. -13 C. -37 D. -29

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A.
B.
C.
D.

Mathematics

Write the sum without using sigma notation.

Mathematics