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Multivariable Calculus

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Complement of Ball

MVCALC-GXLQK8

Which of the following is a correct description of the solid satisfying the inequality:

$$x^2+y^2+z^2> -6x+8y-10z -34$$

A

It is the set of points for which $|x|>3$, $|y|>4$, and $|z|=5$

B

It is the complement of the ball centered at $(-3,4,-5)$ that has radius $\sqrt{34}$

C

It is the complement of the ball centered at $(-3,4,-5)$ that has radius $16$

D

It is the complement of the ball centered at $(-3,4,-5)$ that has radius $4$

E

It is the sphere centered at $(-3,4,-5)$ that has radius $4$