Problem. 12: Consider the surface with parametric equations3u cos(v), y = 2u sin(v),z = u, 0

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Answered: Problem. 12.1 : Write the equation of…

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Problem. 12.1 : Write the equation of the surface in rectangular coordinates. x^2/9+y^2/4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 37E

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

Problem. 12: Consider the surface with parametric equations
3u cos(v), y = 2u sin(v),
z = u, 0<u < 2, 0 < v< 2n
Set up a double integral for the area of the surface.
2pi
A(S) = |
2u*sqrt(4u^2*c v du dv
Problem. 12.1:Write the equation of the surface in rectangular coordinates.
z = x^2/9+y^2/4
Problem. 12.1.1: Set up another double integral for the surface area in rectangular coordinates.
A(S) = |
? dy dx
?

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