Evaluating a Line Integral of a Vector Field In Exercises 29-34, evaluate ∫ C F ⋅ d r . F ( x , y ) = x y i + y j C : r ( t ) = 4 cos t i + 4 sin t j , 0 ≤ t ≤ π 2
Evaluating a Line Integral of a Vector Field In Exercises 29-34, evaluate ∫ C F ⋅ d r . F ( x , y ) = x y i + y j C : r ( t ) = 4 cos t i + 4 sin t j , 0 ≤ t ≤ π 2
Solution Summary: The author explains how to calculate the value of displaystyleundersetCintF.dr.
F
(
x
,
y
)
=
x
y
i
+
y
j
C
:
r
(
t
)
=
4
cos
t
i
+
4
sin
t
j
,
0
≤
t
≤
π
2
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.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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