1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirza4 [7]
3 years ago
5

Find a parametric representation for the surface. the part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (en

ter your answer as a comma-separated list of equations. let x, y, and z be in terms of s and/or θ.)
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
The cylinder is a clue to use cylindrical coordinates. Taking x=3\cos\theta and y=3\sin\theta, we then are forced to use z=3\cos\theta+3. So the parameterization of the intersection of the plane and cylinder is

\mathbf s(\theta)=(3\cos\theta,3\sin\theta,3\cos\theta+3)

To get the surface, we can introduce a second parameter r that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

\mathbf s(r,\theta)=(3r\cos\theta,3r\sin\theta,3r\cos\theta+3)

with 0\le r\le1 and 0\le\theta\le2\pi.
You might be interested in
I need answers asap now
beks73 [17]
A for what i know is 1/4
4 0
3 years ago
Read 2 more answers
Find the slope and y-intercept of the line <br> 6x + 2y = –88
ira [324]
Y=mx+b
6x+2y=-88
2y=-88-6x
y=-44-3x
y=-3x-44
m is the slope
b is the y-intercept
4 0
3 years ago
What is the quotient of 17 and x
GenaCL600 [577]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is equation of the line that passes through the point (-3,8) and has an undefined slope
aniked [119]

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3

<u>Solution:</u>

Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope

Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.

If the slope of the line is undefined, then, by definition the line is a vertical line.

For a vertical line, the value of  x  is the same for each and every value of  y

Given point is (x, y) = (-3 , 8)

Because the value of  x  in the point provided in the problem is -3, we get

Equation of line is : x = -3

8 0
3 years ago
Pls help i have no idea how to do this <br> Find the Missing angles
Semenov [28]
To be honest I just know that #1 is 143 (I think)
8 0
3 years ago
Other questions:
  • Which numeral is in the thousands ppace in 0.3874
    8·1 answer
  • The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation.
    7·1 answer
  • What is the whole number for 5/12
    9·2 answers
  • If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?
    8·1 answer
  • Btw the options for 5 are A-105.7 B-10.57 C-1.057 D-0.1057
    12·2 answers
  • I need help please ​
    11·2 answers
  • What is 8−7x+2y−3x+2y+3 written in simplest form?
    15·2 answers
  • Do not answer ...........
    9·1 answer
  • Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English c
    7·1 answer
  • Harlp ok it hard sorry
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!