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Orientations and boundaries

Let S be the surface of the sphere x, squared, plus, y, squared, plus, z, squared, equals, 4 such that z, is greater than or equal to, 1. Its boundary curve is C.

Find a parameterization of the boundary curve C.

(Choice A)
left parenthesis, 2, cosine, left parenthesis, t, right parenthesis, comma, 2, sine, left parenthesis, t, right parenthesis, comma, 0, right parenthesis, for 0, is less than, t, is less than, pi
(Choice B)
left parenthesis, square root of, 3, end square root, cosine, left parenthesis, t, right parenthesis, comma, square root of, 3, end square root, sine, left parenthesis, t, right parenthesis, comma, 1, right parenthesis, for 0, is less than, t, is less than, pi
(Choice C)
left parenthesis, square root of, 3, end square root, cosine, left parenthesis, t, right parenthesis, comma, square root of, 3, end square root, sine, left parenthesis, t, right parenthesis, comma, 1, right parenthesis, for 0, is less than, t, is less than, 2, pi
(Choice D)
left parenthesis, 2, cosine, left parenthesis, t, right parenthesis, comma, 2, sine, left parenthesis, t, right parenthesis, comma, 0, right parenthesis, for 0, is less than, t, is less than, 2, pi

Stuck?

Multivariable calculus

Course: Multivariable calculus > Unit 5

Orientations and boundaries

Multivariable calculus

Course: Multivariable calculus > Unit 5

Problem