Let S = {0 su≤ 1, 0 ≤v≤ 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformation. T: x=4u cos (лv), y = 4u sin (v) Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) OA. The upper half of the circle of radius centered at the origin. OB. The lower half of the circle of radius centered at the origin.

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 15E
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Let S = {0 su≤ 1, 0 ≤v≤ 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformation.
T: x=4u cos (лv), y = 4u sin (v)
Select the correct choice below and fill in the answer boxes within your choice.
(Simplify your answers.)
OA. The upper half of the circle of radius
centered at the origin.
OB. The lower half of the circle of radius
centered at the origin.
Transcribed Image Text:Let S = {0 su≤ 1, 0 ≤v≤ 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformation. T: x=4u cos (лv), y = 4u sin (v) Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) OA. The upper half of the circle of radius centered at the origin. OB. The lower half of the circle of radius centered at the origin.
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