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Some calculus 3 questions that needs answers within an hour. Thank you! Attached in the photos.

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UF

FLORINA

Identify the quadric surface.

y? – 6 – 2 + 10 = 0

o hyperboloid of one sheet

o hyperboloid of two sheets

o ellipsoid

paraboloid

294

cylinder

?

Question 3

4 pts

Find the angle between the planes x – y +z = 0 and x – 2y – 2z = 5.

1

COS

373)

(27)

2

COS

-1

5

-1

COS

27

1

COS

(1303)

– ()

COS

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UF

Question 4

4 pts

FLORIDA

The space curve C is defined by the vector function

r(t) = -2/+1i + ln(t + 1)j + sin(–2t) k

Which of the following is/are correct?

38

P. The domain of the function is (-1,00).

POD

JOD

Q. The vector (-1,1,2) is a tangent vector to the curve C at t = 0.

R. The vector (1,-1,-1) is orthogonal to the tangent line of the curve C at t = 0.

294

?

Q only

OP and R

Q and R

P only

P and Q

ho

Question 5

4 pts

The path of a particle parameterized by the time t is

r(t) = (t?, 2t, t)

Find the tangential component at of the acceleration at the point

(1, 2, 1).

o 4

9

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UF

Question 5

4 pts

FLORIDA

The path of a particle parameterized by the time tis

r(t) = (t, 2t, t)

Find the tangential component at of the acceleration at the point

(1, 2, 1).

ロロロ

BE

4

294

9

©

مهر | نت

LO

25

9

25

3

None of the choices is correct.

w

Question 6

4 pts

Consider the quadric surface – 22 + y2 + 2z2 = 0. Which of the following is/are

correct?

Cole

ts

P. The traces in the plane parallel to the xz-plane are hyperbolas.

Q. The traces in the plane parallel to the yz-plane are ellipses.

Z

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UF

25

Hobos

3

None of the choices is correct.

28

Question 6

4 pts

DOR

294

correct?

Consider the quadric surface – 22 + y2 + 2z2 = 0. Which of the following is/are

?

P. The traces in the plane parallel to the xz-plane are hyperbolas.

Q. The traces in the plane parallel to the yz-plane are ellipses.

R. The graph of the surface is

OP and R only

R only

OP, Q, and R

P and Q only

Q and R only

Question 7

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Tags:

ellipsoid

Planes

tangent vector

hyperbloid

parabloid

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