IV D termine which of the following equations defines a function. (1) x+y=7 (2) 3x (3) x² + 2y = 4 (5) y =√1-x² (4) x² + 2y + y² (6) x+y³ = -5 = 9 = -1
IV D termine which of the following equations defines a function. (1) x+y=7 (2) 3x (3) x² + 2y = 4 (5) y =√1-x² (4) x² + 2y + y² (6) x+y³ = -5 = 9 = -1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:IV D termine which of the following equations defines a function.
(1) x+y=7
(2) 3x
(3) x² + 2y = 4
(5) y = √1-x²
(4) x²
+2y
+
y²
(6) x+y³
= -5
=
=
9
-1
Expert Solution
Step 1
Sol:-
Equation defines a function , only when vertical line cut the graph only at one point. Also , every linear polynomial defines a function
(1) x+y = 7 :- Linear polynomial :- Function
(2) 3x+2y =-5 :- Linear polynomial :- Function
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