Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 2 x y z d s C : r ( t ) = 12 t i + 5 t j + 84 t k 0 ≤ t ≤ 1
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 2 x y z d s C : r ( t ) = 12 t i + 5 t j + 84 t k 0 ≤ t ≤ 1
Solution Summary: The author explains how to calculate the line integral displaystyleundersetCint 2xyzds along the path.
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path.
∫
C
2
x
y
z
d
s
C
:
r
(
t
)
=
12
t
i
+
5
t
j
+
84
t
k
0
≤
t
≤
1
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Let a = (-1, -2, -3) and 6 = (-4, 0, 1).
Find the component of b onto a.
Forces of 9 pounds and 15 pounds act on each other with an angle of 72°.
The magnitude of the resultant force
The resultant force has an angle of
pounds.
* with the 9 pound force.
The resultant force has an angle of
with the 15 pound force.
It is best to calculate each angle separately and check by seeing if they add to 72°.
=
Let (6,2,-5) and = (5,4, -6).
Compute the following:
บี.บี.
บี. นี =
2
−4(u. v) =
(-4). v=
ū. (-40)
(ū. v) v =
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