Find the curl of the vector field.


-18i- 10+ 7k

Mathematics

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Factor the expression completely, if possible.z3 + 512

A. (z + 8)(z2 + 64) B. (z - 512)(z2 - 1) C. (z - 8)(z2 + 8z + 64) D. (z + 8)(z2 - 8z + 64)

Mathematics

Perform the row operations on the matrix and write the resulting matrix. Replace R2 by R1 + R2

A.

B.

C.

D.

Mathematics

Identify and graph the conic section. Label the center and/or vertex as appropriate. -  = 1

A. hyperbola; center (0, 0);
(-, 0), (, 0)

B. hyperbola; center (0, 0);
(-2, 0), (2, 0)

C. ellipse; center (0, 0)
(-, 0), (, 0), (0, -2), (0, 2)

D. hyperbola; center (0, 0);
(0, -), (0, )

Mathematics

If a point has coordinates (a, b), what are the coordinates of the point under the transformation that takes ?ABC to ?A'B'C' in Figure 2?

Mathematics