Use the gradient to find the directional derivative of the function at P in the direction of Q.
?

?

A.
B.
C.
D.
E.


Answer: B

Mathematics

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Perform the indicated operation. Simplify the result if possible.2 yd 2 ft + 10 yd 2 ft

A. 13 yd 2 ft B. 13 yd 1 ft C. 12 yd 1 ft D. 12 yd 2 ft

Mathematics

Suppose that three candidates for office were ranked by voters as as shown in the table below. Use the Borda count method to determine the winner and then show that this method violates the majority criterion.


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The graph of a rational function y = f(x) is given below. Use the graph to give the solution set of   and  Use set notation for part (a) and interval notation for parts (b) and (c).

A. (a) ? (b) (-?, 3) (c) (3, ?) B. (a) ? (b) (3, ?) (c) (-?, 3) C. (a) {-?, ?} (b) (3, ?) (c) (-?, 3) D. (a) {?} (b) (3, ?) (c) (-?, 3)

Mathematics

The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.7 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to the nearest tenth.

A. 3.9 B. 2.7 C. 886.5 D. 2.9

Mathematics