Line
is the same for each parametric representation of C.
(i)
(ii)
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Calculus: Early Transcendental Functions
- Sketch the vector field F(x, y) 1. 1 xi+ %3Darrow_forwardRain on a roof Consider the vertical vector field F = ⟨0, 0, -1⟩, correspondingto a constant downward flow. Find the flux in the downward direction acrossthe surface S, which is the plane z = 4 - 2x - y in the first octant.arrow_forwardQuestion: Prove that the 2d-curl of a conservative vector field is zero, ( ∇ × ∇ f ) ⋅ k = 0 (here k is unit vector) for any general scalar function f ( x , y ).arrow_forward
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