делеп, 47²-9y² = 9(2²+4) -TRACE ON TY PLANE: Put 2=0. 2 4x²-9y² = 36 36 Put 346 Nas w/co x² - y² g This represents a hyperbola 24/0 nehich gives, = 1 TRACE OU X2 PLANE: - = 1 ANSWER. уто, 4x² = 9(2²+4) 47²-92²=36 nehich gives, 2=1 AUSWER This represents o hyperbola ANSWER - The surface, ANSWER •TRALE ON YZ PLANE . Put x=0, nehich quies, -9y² = 9(2²+4) -y²= 2² +4 4 ANSWER Ils represents emagénary wiele, which is obviously [emply] ANSWER TRACE ON planes 2 = ± 31/2 Put y = ±312, nehich gives 4 (+352)²-ay² = 9(2²+4) + (18) -9y² = 9(2²+4) 72-9y²= 9(2²14) 6 = 9₂² +9y² += y² +₂² ANSWER. this reprybents a circle of radens 2 Centers at Orugen 4x²-gy² = 9 (²²+4) represents | HYPERBOLOID OF TWO SHEETS ANSWER.
делеп, 47²-9y² = 9(2²+4) -TRACE ON TY PLANE: Put 2=0. 2 4x²-9y² = 36 36 Put 346 Nas w/co x² - y² g This represents a hyperbola 24/0 nehich gives, = 1 TRACE OU X2 PLANE: - = 1 ANSWER. уто, 4x² = 9(2²+4) 47²-92²=36 nehich gives, 2=1 AUSWER This represents o hyperbola ANSWER - The surface, ANSWER •TRALE ON YZ PLANE . Put x=0, nehich quies, -9y² = 9(2²+4) -y²= 2² +4 4 ANSWER Ils represents emagénary wiele, which is obviously [emply] ANSWER TRACE ON planes 2 = ± 31/2 Put y = ±312, nehich gives 4 (+352)²-ay² = 9(2²+4) + (18) -9y² = 9(2²+4) 72-9y²= 9(2²14) 6 = 9₂² +9y² += y² +₂² ANSWER. this reprybents a circle of radens 2 Centers at Orugen 4x²-gy² = 9 (²²+4) represents | HYPERBOLOID OF TWO SHEETS ANSWER.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Using the traces obtained here for l3, provide a hand drawn sketch of l3 and label all important points. For graph reference, 3*sqrt(2) = 4.2
Transcribed Image Text:Let 13 be the surface with
the equation given by
4x²-9y²= 9(z² + 4)
2
2
![geven,
2
47²-9y² = 9(2²+4)
• TRACE ON TY PLANE:
Put 2=0, nehich gives
1
4x²-9y² = 36
4x²-gy².
36 36
2²-42=1 ANSWER
x²y²
= 1
g
This represents a hyperbola | ANSWER.
TRACE OU X2 PLANE:
уго,
4x² = 9(2²+4)
4x²-92²=36
Put
a
nehich
ANSWER.
This represents a hyperbola ANSWER
• The surface,
gines,
= 1
•TRACE ON
.
42
PLANE:
Put x=0, nehich quies,
-9y² = 9 (2²+4)
= 2 +4
2²+y² = - + | ANSWER.
-4
This represents emagénary wiele, which
is obneously [emply] ANSWER
TRACE
ON
planes z = +312
Put y = ±312, nehich gives
4 (+ 3√2)-ay² = 9(2²+4)
+(18) -9y² = 9(²²+4)
72-9y² = 9(2²14)
36 = 922+ay2
4 = y² + 2² ANSWER:
this
represents a circle of raders 2 Centere
at Orugen
4x²= gy² = 9 (2²+4) represents / HYPERBOLOID OF
TWO SHEETS ANSWER.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61018891-1fbc-41a9-b831-1811b4c476c9%2F69726a06-fd05-4520-bc5e-4954f6261b02%2Fmysul5l_processed.png&w=3840&q=75)
Transcribed Image Text:geven,
2
47²-9y² = 9(2²+4)
• TRACE ON TY PLANE:
Put 2=0, nehich gives
1
4x²-9y² = 36
4x²-gy².
36 36
2²-42=1 ANSWER
x²y²
= 1
g
This represents a hyperbola | ANSWER.
TRACE OU X2 PLANE:
уго,
4x² = 9(2²+4)
4x²-92²=36
Put
a
nehich
ANSWER.
This represents a hyperbola ANSWER
• The surface,
gines,
= 1
•TRACE ON
.
42
PLANE:
Put x=0, nehich quies,
-9y² = 9 (2²+4)
= 2 +4
2²+y² = - + | ANSWER.
-4
This represents emagénary wiele, which
is obneously [emply] ANSWER
TRACE
ON
planes z = +312
Put y = ±312, nehich gives
4 (+ 3√2)-ay² = 9(2²+4)
+(18) -9y² = 9(²²+4)
72-9y² = 9(2²14)
36 = 922+ay2
4 = y² + 2² ANSWER:
this
represents a circle of raders 2 Centere
at Orugen
4x²= gy² = 9 (2²+4) represents / HYPERBOLOID OF
TWO SHEETS ANSWER.
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