Sketch a graph of each surface. Then, match each surface to its brief descriptio
ID: 2870319 • Letter: S
Question
Sketch a graph of each surface. Then, match each surface to its brief description in words.
? A B C D E F G H I J K L M 1. z=x2+36y2+4
? A B C D E F G H I J K L M 2. 3x+4y+3z=6
? A B C D E F G H I J K L M 3. z=3
? A B C D E F G H I J K L M 4. z=49x2y2
? A B C D E F G H I J K L M 5. x=4
? A B C D E F G H I J K L M 6. z=3y2
? A B C D E F G H I J K L M 7. x2+y2+z2=9
? A B C D E F G H I J K L M 8. x2+y2=4
? A B C D E F G H I J K L M 9. z2=x2+16y2
A. Horizontal plane
B. Sphere
C. Horizontal line
D. Cone
E. Point
F. Hyperbolic paraboloid (saddle)
G. Skew plane
H. Elliptic paraboloid
I. Circular cylinder
J. Vertical plane
K. Parabolic cylinder
L. Sinusoidal cylinder
M. Skew line
? A B C D E F G H I J K L M 1. z=x2+36y2+4
? A B C D E F G H I J K L M 2. 3x+4y+3z=6
? A B C D E F G H I J K L M 3. z=3
? A B C D E F G H I J K L M 4. z=49x2y2
? A B C D E F G H I J K L M 5. x=4
? A B C D E F G H I J K L M 6. z=3y2
? A B C D E F G H I J K L M 7. x2+y2+z2=9
? A B C D E F G H I J K L M 8. x2+y2=4
? A B C D E F G H I J K L M 9. z2=x2+16y2
A. Horizontal plane
B. Sphere
C. Horizontal line
D. Cone
E. Point
F. Hyperbolic paraboloid (saddle)
G. Skew plane
H. Elliptic paraboloid
I. Circular cylinder
J. Vertical plane
K. Parabolic cylinder
L. Sinusoidal cylinder
M. Skew line
Explanation / Answer
....1) z=x^2+36y^2+4--> H
2) -3x+4y+3z=6 --> G
3)z=-3 ----> A
4) z=49x^2-y^2--->F
5) x= 4 ---> J
6) z= 6y^2 --> K
7) x^2+y^2+z^2=9--> B
8) x^2+y^2=4 ---> I
9) z^2= x^2+16y^2---> H
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