Question: Suppose C is the curve obtained by intersecting the plane z= z and the cylynder x^2+y^2=1 oritented counterclockwise when viewed from above. Let S be

Suppose C is the curve obtained by intersecting the plane z= z and the cylynder x^2+y^2=1 oritented counterclockwise when viewed from above. Let S be the inside of this ellipse oriented with the upward-pointing normal. If F=xi+zj+2yk Evaluate the line integral directly

Suppose C is the curve obtained by intersecting the plane z = x and the cylinder x2 + y? = 1, oriented counterclockwise when viewed from above. Let S be the inside of this ellipse, oriented with the upward-pointing normal. If F = xi + zj + 2yk, a. Evaluate the line integral directly: J F . dr b. Verify Stokes' Theorem by using the theorem to compute the same line integral. Reminder: F . dr = curlF . ds

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