(a) Find a vector-parametric equation 7₁(t) = (x(t), y(t), z(t)) for the shadow of the circular cylinder x² + z² = 7 in the xz-plane. Shadow: r₁(t): = for 0 ≤ t ≤ 2π. = (b) Find a vector-parametric equation for intersection of the circular cylinder x² + x² 9x + 6y + 8z = 1. Intersection: 72(t) = = 7 and the plane for 0 ≤ t ≤ 2π.
(a) Find a vector-parametric equation 7₁(t) = (x(t), y(t), z(t)) for the shadow of the circular cylinder x² + z² = 7 in the xz-plane. Shadow: r₁(t): = for 0 ≤ t ≤ 2π. = (b) Find a vector-parametric equation for intersection of the circular cylinder x² + x² 9x + 6y + 8z = 1. Intersection: 72(t) = = 7 and the plane for 0 ≤ t ≤ 2π.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:(a) Find a vector-parametric equation 7₁(t) = (x(t), y(t), z(t)) for the shadow of the circular cylinder x² + z² = 7 in
the xz-plane.
2
Shadow: 7₁(t)
=
for 0 ≤ t ≤ 2TT.
=
(b) Find a vector-parametric equation for intersection of the circular cylinder x² + z²
9x + 6y + 8z = 1.
Intersection: 7₂(t) :
=
7 and the plane
for 0 ≤ t ≤ 2π.
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