Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.)
?

?

A. ?

?


B. ?

?


C. ?

?


D.

?


E. ?

?



Answer: D

Mathematics

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Perform the addition.5 + 2.12 + 0.674

A. 2.206 B. 6.446 C. 3.554 D. 7.794

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If M is the theoretical maximum charge that a battery can hold and k is a positive constant that depends on the battery and the charger, the length of time (in minutes) required to charge the battery to a given level C is given by

?
.
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If , how long will it take a battery to reach a 70% charge? Assume that the battery was fully discharged when it began charging. Round your answer to the nearest tenths.
?

A. 4.0 minutes
B. 2.7 minutes
C. 0.2 minutes
D. 9.3 minutes
E. 0.0 minutes

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Translate the phrase into a mathematical expression. If needed, use x to represent "a number."Five times a number, subtracted from -9.

A. -9 - 5x B. 9 - 5x C. 5x - (-9) D. 5x - 9

Mathematics

Determine the vertex of the parabola.y = (x + 4)2 - 2

A. (2, 4) B. (4, -2) C. (-4, -2) D. (-2, -4)

Mathematics