Verifying Stoke’s Theorem In Exercises 3-6, verify Stoke’s Theorem by evaluating
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Calculus (MindTap Course List)
- help, I got this answer wrongarrow_forwardEvaluating line integrals Evaluate the line integral ∫C F ⋅ drfor the following vector fields F and curves C in two ways.a. By parameterizing Cb. By using the Fundamental Theorem for line integrals, if possible F = ⟨y, z, -x⟩; C: r(t) = ⟨cos t, sin t, 4⟩ , for 0 ≤ t ≤ 2πarrow_forwardGreen’s Theorem, circulation form Consider the following regions R and vector fields F.a. Compute the two-dimensional curl of the vector field.b. Evaluate both integrals in Green’s Theorem and check for consistency. F = ⟨2y, -2x⟩; R is the region bounded by y = sin x and y = 0, for 0 ≤ x ≤ π.arrow_forward
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