Suppose that over a certain region of space the electrical potential V is given by V(x, y, z) = 8x² - 7xy + 7xyz.

Find the rate of change of the potential at in the direction of the vector v = 7i + 10j - 8k.

a. -15.099
b. 14.569856
c. 44
d. 20
e. -0.96


e. -0.96

Mathematics

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For the given set of ordered pairs, determine whether a function could be defined for which the input would be an x-coordinate and the output would be the corresponding y-coordinate.{(-6, 3), (-2, 2), (4, -8), (4, -9)}

A. Yes B. No

Mathematics

Multiply.-2002(0.7007)

A. -1402.8014 B. -141.5414 C. -1541.54 D. -1374.7454

Mathematics

Round to the indicated place.Winds have reached 319 miles per hour during a series of violent tornadoes that hit Oklahoma City. Round to the nearest ten miles per hour.

A. 330 miles per hour B. 320 miles per hour C. 300 miles per hour D. 319 miles per hour

Mathematics

Graph the equation in the rectangular coordinate system.x = -4

A.

B.

C.

D.

Mathematics