All 7 Uses

coax
in
Three Cups of Tea
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A long-haired black yak stood blocking their progress between two homes, while Tahira, the ten-year-old daughter of Hussein, Korphe's most educated man, pulled the yak by a bridle attached to the animal's nose ring and tried to coax him out of the way.†
Chpt 10
They walked north out of Korphe in a steady rain, through ripening buckwheat fields clinging to every surface where irrigation water could be coaxed.†
Chpt 10

coaxed = tried to obtain a result through gentle and careful effort -- often gently persuaded
One had to water a plant before it could be coaxed to grow; children had to survive long enough to benefit from school.†
Chpt 16 *
And nomadic Gojar shepherds, the gypsies of Pakistan, coaxed flocks of skittish goats through the heaving military traffic, herding them on the long march toward India, where they would feed Pakistan's troops.†
Chpt 17
Eventually, as his family gathered for dinner upstairs, Mortenson would permit himself to be coaxed away from his books.†
Chpt 18
Traveling only twenty kilometers an hour, they coaxed their jeeps up the rough dirt track, between shattered glaciers that hung like half-chewed meals from the flanks of shark-toothed twenty-thousand-foot peaks.†
Chpt 19
"I'm looking for Sadhar Khan," Mortenson said, in the rudimentary Dari he'd coaxed Kais to teach him on the drive out of Kabul.†
Chpt 23

Definitions:

(1) (coax as in: coax her to join us)
try to obtain a result through gentle and careful effort -- often gentle persuasion
(2) (meaning too rare to warrant focus)
Less commonly, coax is a short for coaxial cable (a type of electrical cable used to transmit data, the internet, video and voice communications). Coaxial cables have a conducting wire surrounded by an insulating layer surrounded by a shield. The insulating layer and shield surround a common axis--the conducting wire.

In classic literature, you may see coax used as a synonym for caress or fondle.