For the following exercises, evaluate the integral using the Fundamental Theorem of Line Integrals. 129. Evaluate ∫ c ∇ f . d r , where f ( x , y , z ) = x y z 2 − y z and C has initial point (1, 2) and terminal point (3, 5).
For the following exercises, evaluate the integral using the Fundamental Theorem of Line Integrals. 129. Evaluate ∫ c ∇ f . d r , where f ( x , y , z ) = x y z 2 − y z and C has initial point (1, 2) and terminal point (3, 5).
For the following exercises, evaluate the integral using the Fundamental Theorem of Line Integrals.
129. Evaluate
∫
c
∇
f
.
d
r
,where
f
(
x
,
y
,
z
)
=
x
y
z
2
−
y
z
and C has initial point (1, 2) and terminal point (3, 5).
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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