Suppose That Over a Certain Region of Space the Electrical $V$

question 16

Multiple Choice

Suppose that over a certain region of space the electrical potential $V$ is given by $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$ .
Find the rate of change of the potential at $( - 1,1 , - 1 )$ in the direction of the vector $\mathbf { v } = 7 \mathbf { i } + 10 \mathbf { j } - 8 \mathbf { k }$ .

• A) -15.099
• B) 14.569856
• C) 44
• D) 20
• E) - 0.96

---

Definitions:

Graafian Follicles

Mature ovarian follicles that are ready to release an egg during ovulation, named after Regnier de Graaf.

Bulbourethral Gland

One of two small compound glands that produce a mucoid secretion; it discharges through a small duct into the spongy urethra.

Prostate

A gland in the male reproductive system that surrounds the urethra below the bladder, contributing to the production of semen.

Ejaculatory Duct

A duct through which semen is ejected into the urethra for expulsion from the body during ejaculation.