- Question 2

Question 2

For the function f(x, y) = √3-5y, answer the following questions:

1. Classify the typical cross sections for f with the planes ze for 0.

The typical cross sections for f with the planes ze for e0 can be described as a family of

[1 point]

I.

secar

OL

iv. Which one of the followings best describe the surface = √32²-8³ in 30-space. The surface

f(x,y)=√32-5y can be described as: 12 points)

O Semi-spheres on both sides of the origin along the z-axis

O Semi-spheres on both sides of the origin along the y-axis

O Semi-conics on both sides of the origin along the z-axis

O Semi-conics on both sides of the origin along the g-axis

cross sections for f with the planes y=dford 0.

ctions for f with the planes yd for dy 0 can be described as a family of

[1 point]

For the function f(x,y)=√32³-5y, answer the following questions:

1. Classify the typical cross sections for f with the planes ac for 0.

The typical cross sections for f with the planes ze for c0 can be described as a family of

Click for L

[1 point]

H.

cross sections for f with the plane y-0.

rf with the plane y-0 can be described as a

[2 points)

i. Classify the typical cross sections for f with the planesyd for dy 0.

The typical cross sections for f with the planes y=d for d0 can be described as a family of

Click for

[1 point)

lv.

-par

cross sections for f with the plane y-0.

or f with the plane y = 0 can be described as a

.[2 points)

llowings best describe the surface z= √3³-5y in 3D-space. The surface

5y² can be described as: [2 points)

O Semi-spheres on both sides of the origin along the z-axis

O Semi-spheres on both sides of the origin along the y-axis

O Semi-conics on both sides of the origin along the z-axis

O Semi-conics on both sides of the origin along the y-axis/nQuestion 2

For the function f(x,y)=√3²-5², answer the following questions:

1. Classify the typical cross sections for f with the planes a=efore 0

The typical cross sections for f with the planes are for ey O can be described as a family of

[1 point]

ii. Classify the typical cross sections for f with the planes y-d for d 0.

The typical cross sections for f with the planes yd for dy 0 can be described as a family of

[1 point]

II. Classify the typical cross sections for f with the plane y=0.

The cross sections for f with the plane y=0 can be described as a

[2 points]

IN.

wyb

llowings best describe the surfacez-√32³-5y² in 30-space. The surface

y can be described as: [2 points]

on both sides of the origin along the z-axis

on both sides of the origin along the y-axis

both sides of the origin along the z-axis

O Semi-conics on both sides of the origin along the g-axis

vitape

semi-cinde/nQuestion 2

For the function f(x,y)=√32²-5², answer the following questions:

1. Classify the typical cross sections for f with the planes are for 0.

The typical cross sections for f with the planes ze for e0 can be described as a family of

..[1 point]

II. Classify the typical cross sections for f with the planes y for 0.

The typical cross sections for f with the planes yd for dy 0 can be described as a family of

--[1 point]

ill. Classify the typical cross sections for f with the plane

The cross sections for f with the plane y0 can be described as a

-- [2 points]

iv. Which one of the followings best describe the surfaces=√32-5 in 30-space. The surface

f(x,y)-√32-6y can be described as: (2 points]

O Semi-spheres on both sides of the origin along the z-axis

O Semi-spheres on both sides of the origin along the y-axis

O Semi-conics on both sides of the origin along the z-axis

O Semi-conics on both sides of the origin along the y-axis