### Assignment Instructions/ Description

Image transcription text20. [-/5 Points]

DETAILS

LARCALC11 11.7.029.

Find an equation in rectangular coordinates for the surface represented by the cylindrical equation.

r = 14 sin(0)

Sketch its graph.

Z

10

z 1

10

10

-10

- 10

- 10

10

10

10

10 10

-10_ 10

O

O

10

-10

-10

10

10

-10

-10 10

-10) 10... Show moreImage transcription text18. [-/5 Points]

DETAILS

LARCALC11 11.7.006.

Convert the point from cylindrical coordinates to rectangular coordinates.

6 ,

5

2

( x , y, z) =

19. [-/5 Points]

DETAILS

LARCALC11 11.7.010.

Convert the point from rectangular coordinates to cylindrical coordinates.

(9, 3V3, -6)

(r, 0, z) =... Show moreImage transcription textLARCALC11 11.6.012.

DETAILS

17. [-/5 Points]

Describe the surface.

yz + z = 5

The ? v -coordinate is missing so it is a -Select- v cylinder with the rulings parallel to the ? ~ | -axis. The generating curve is a [-Select-~]

Sketch the surface.

10 -2

10

-10

10

-5

O

10

-5

70

5 - 10

10

10... Show moreImage transcription text16. [-/5 Points]

DETAILS

LARCALC11 11.6.005.

Match the equation with its graph.

x 2

+

+

22

= 1

9

16

9

6

- 3

O

O

N

O

O

32

O... Show moreImage transcription text14. [-/5 Points]

DETAILS

LARCALC11 11.5.009.

MY NOTES

AS

Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.)

Point

Parallel to

(-1, 0, 4)

v = 7i + 3j - 9k

(a) parametric equations (Enter your answers as a comma-separated list.)

(b) symmetric equations

oxti y_ 4-z

3

9

0 7x = y = 92

37

O X- 1=y=

OX= Y =

15. [-/5 Points]

DETAILS

LARCALC11 11.5.042.

MY NOTES

AS

Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line.

Point

Perpendicular to

(0, 4, 0)

n = -3i + 9k

ESC

X

F9

F1

F2

F3

F4

F5

F6

F7

F8

S

%

&

3

5... Show moreImage transcription text12. [-/5 Points]

DETAILS

LARCALC11 11.4.016.

Find a unit vector that is orthogonal to both u and v.

u = (-8, -6, 4)

v = (10, -18, -2)

13. [-/5 Points]

DETAILS

LARCALC11 11.5.005.

Determine whether each point lies on the line.

x = -2 + t, y = 3t, z = 4+t

(a) (0, 6, 6)

Yes

O No

( b ) ( 2 , 3 , 5 )

Yes

O No

( C) ( - 4, - 6, 2)

O Yes

O No... Show moreImage transcription text(e) u. (3v)

10. [-/5 Points]

DETAILS

LARCALC11 11.3.018.

Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to three decimal places and part (b) to one decimal place.)

u = 2i - 5j + k

v = i - 2j + k

(a) radians

e :

(b) degrees

0 =

11. [-/5 Points]

DETAILS

LARCALC11 11.4.008.

Find u x v, v x u, and v x v.

U = 41 + 8k

v = 3i + 9j - 6k.

(a ) uxv

( b vxu

(C V X V

ESC

X

Flock

F1

F2

F3

F4

F5

FO

S... Show moreï¿½