Which of the following statements are false? ) The domain of the function f(z, y, z) = + sin-(z + y) is {(z, y, z) : z< z, y+-1, and - 1

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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Which of the following statements are false?
V
() The domain of the function f(z, y, z) = + sin (z + y) is {(z, y, 2) : z < z, y # –1, and – 1<z+y < 1};
(i) Consider the function f(z, y) = V4- 4z2 – y2. Then, its level curve f(r,y) = 2 is a circle;
%3D
(in) The range of the function f(1, y) = cos 5 - - 3y is (0, /5):
(iv) The domain of the function f(x,y) =
In(2-32)
1-2-y
is {(z, y) : z < and y # –x² + 1}.
Oa
Only (ii) and (iv)
O b. Only (ii)
Oc Only (iii) and (iv)
Od. Only (iii)
O e. None of these
Transcribed Image Text:Which of the following statements are false? V () The domain of the function f(z, y, z) = + sin (z + y) is {(z, y, 2) : z < z, y # –1, and – 1<z+y < 1}; (i) Consider the function f(z, y) = V4- 4z2 – y2. Then, its level curve f(r,y) = 2 is a circle; %3D (in) The range of the function f(1, y) = cos 5 - - 3y is (0, /5): (iv) The domain of the function f(x,y) = In(2-32) 1-2-y is {(z, y) : z < and y # –x² + 1}. Oa Only (ii) and (iv) O b. Only (ii) Oc Only (iii) and (iv) Od. Only (iii) O e. None of these
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