Find a parametric representation for the surface a) The part of the cylinder y² + z² = 16 that lies between the planes x =( 0 and x - 5

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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show full and complete procedure HANDWRITTEN ONLY please answer parts a), b) & c) as they are subparts of the same question 

2. Find a parametric representation for the surface
a) The part of the cylinder y² + z² = 16 that lies between the planes x = 0 and x = 5
b) Find the area of the surface: the part of the plane 3x + 2y + z = 6 that lies in the first
octant
c) Find the area of the surface: the part of the plane x + 2y + 3z = 1 that lies inside the
cylinder x² + y² = 3
Transcribed Image Text:2. Find a parametric representation for the surface a) The part of the cylinder y² + z² = 16 that lies between the planes x = 0 and x = 5 b) Find the area of the surface: the part of the plane 3x + 2y + z = 6 that lies in the first octant c) Find the area of the surface: the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x² + y² = 3
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