A vector field F has potential function given by U(r) 2x - y³ – z. A path C is defined by the parametric equations x(t) = sint, y(t) = -cost, z(t) = sint, 0≤t
A vector field F has potential function given by U(r) 2x - y³ – z. A path C is defined by the parametric equations x(t) = sint, y(t) = -cost, z(t) = sint, 0≤t
A vector field F has potential function given by U(r) 2x - y³ – z. A path C is defined by the parametric equations x(t) = sint, y(t) = -cost, z(t) = sint, 0≤t
Transcribed Image Text:A vector field F has potential function given by
U(r) = 2xy³ - 2
A path C is defined by the parametric equations
x(t) sint, y(t) = -cost,
=
cost,
z(t)
z(t) =
=
Enter the value of the line integral
sint,
sint, 0<t<π,
F. ds in the box below (rounded to two decimal places).
C M
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.
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