Consider the vector field F = (2x, 3y, 4z) and the surface z = z = 4-2² - y², z 20. Write down the line integral and the surface integral that Stokes' Theorem tells us are equal for this vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface

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Chapter2: Second-order Linear Odes
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just stokes thm part pls

Consider the vector field F = (2x, 3y, 4z) and the surface z = 4-2² - y², 220.
Write down the line integral and the surface integral that Stokes' Theorem tells us are equal for this
vector field and surface. Evaluate both.
Hint: The surface integral requires very little work. You do not even need to parameterize the surface.
Transcribed Image Text:Consider the vector field F = (2x, 3y, 4z) and the surface z = 4-2² - y², 220. Write down the line integral and the surface integral that Stokes' Theorem tells us are equal for this vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface.
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