Find a parametric representation of the curve of intersection of the paraboloid z = x² + y² and the plane 8x - 4y - z - 11 = 0. A) r = (3 - 4cos(t)) i + (3 + 2sin(t)) j + (1 - 32cos(t) - 8sin(t)) k, 0 $\le$ t $\le$ 2$\pi$ B) r = (3 + 4cos(t)) i + (3 - 2sin(t)) j + (1 + 32cos(t) + 8sin(t)) k, 0 $\le$ t $\le$ 2$\pi$ C) r = (4 + 3cos(t)) i + (-2 + 3sin(t)) j + (24cos(t) - 12sin(t) - 29) k, 0 $\le$ t $\le$ 2$\pi$ D) r = (-4 + 3cos(t)) i + (2 + 3sin(t)) j + (24cos(t) - 12sin(t) - 51) k, 0 $\le$ t $\le$2$\pi$ E) r = (-3 + 4cos(t)) i + (-3 - 2sin(t)) j + (32cos(t) + 8sin(t) - 23) k, 0 $\le$ t $\le$ 2$\pi$

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The Answer of Find a parametric representation of the curve of intersection of the paraboloid z = x² + y² and the plane 8x - 4y - z - 11 = 0. A) r = (3 - 4cos(t)) i + (3 + 2sin(t)) j + (1 - 32cos(t) - 8sin(t)) k, 0 $\le$ t $\le$ 2$\pi$ B) r = (3 + 4cos(t)) i + (3 - 2sin(t)) j + (1 + 32cos(t) + 8sin(t)) k, 0 $\le$ t $\le$ 2$\pi$ C) r = (4 + 3cos(t)) i + (-2 + 3sin(t)) j + (24cos(t) - 12sin(t) - 29) k, 0 $\le$ t $\le$ 2$\pi$ D) r = (-4 + 3cos(t)) i + (2 + 3sin(t)) j + (24cos(t) - 12sin(t) - 51) k, 0 $\le$ t $\le$2$\pi$ E) r = (-3 + 4cos(t)) i + (-3 - 2sin(t)) j + (32cos(t) + 8sin(t) - 23) k, 0 $\le$ t $\le$ 2$\pi$

Find a Parametric Representation of the Curve of Intersection of the Paraboloid