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.

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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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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