# Math 4A Delta College Calcplot 3D Labs

Description

3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3

Unformatted Attachment Preview

1
Math 4A CalcPlot3D Lab 03
Topic: Vector-valued Functions and Graphing a Space Curve
Go to the website to access the CalcPlot3D app.
CalcPlot3D – Monroe Community College
https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/
Objective: The goal of Lab 03 show how CalcPlot3D constructs space curves and demonstrate how to
trace and display its path.
Here is a video that will demonstrate how to plot space curves using CalcPlot3D:

Apply what you have learned in the first two labs on plotting
surfaces along with the video for plotting space curves and
reproduce the image in section 12.1, example 4 on page 822.
Lab 03 DUE DATE is set in the Assignment
1
Math 4A CalcPlot3D Lab 03 (A Week 02Topic Assignment)
Topic: Vector-valued Functions, Unit Tangent, Unit Normal, Unit Binormal
Go to the website to access the CalcPlot3D app.
CalcPlot3D – Monroe Community College
https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/
Objective: The goal of Lab 03 show how CalcPlot3D constructs space curves, trace the path of the curve,
and display the Frenet frame using its vector-valued function plotting capabilities
Here is a video that will demonstrate how to plot space curves using CalcPlot3D:
https://www.youtube.com/watch?v=YYftS8Kyvnk and discover how to display the Frenet Frame (or TNB-frame).
Use the space curve capabilities of CalcPlot3D to display
the space curve of the vector-valued function defined by
𝑟(𝑡) = (sin 𝑡 − 𝑡 cos 𝑡) 𝒊⃗ + (cos 𝑡 + 𝑡 sin 𝑡) 𝒋⃗ + 𝑡 ⃗𝒌⃗
and display at 𝑡 = 5 , the unit tangent vector, the unit
normal vector, and the unit binormal vector.
Lab 04 DUE DATE is set in the Assignment
4
= 1-
EXAMPLE 4 Representing a Graph: Vector-Valued Function
Sketch the space curve C represented by the intersection of the semiellipsoid
x2 2 2
1, 220
12 24
and the parabolic cylinder y = x2. Then find a vector-valued function to represent the
graph.
Solution The intersection of the two surfaces is shown in Figure 12.5. As in
Example 3, a natural choice of parameter is x = t. For this choice, you can use the
given equation y = xto obtain y = 12. Then it follows that
222
– 1 / 름
14_24 – 2r- r* _6 + 1)(4 – 1)
12
24
Because the curve lies above the xy-plane, you should choose the positive square root
for z and obtain the parametric equations
(6 + 12)(4 – 12)
*= 1, y = 1, and z =
The resulting vector-valued function is
(6 + 2)(4 – 12)
r(t) = ti + t?j +
-k, -2 sis 2.
6
Vector-valued function
(Note that the k-component of r(t) implies -2 51 2.) From the points (-2,4, 0)
and (2, 4, 0) shown in Figure 12.5, you can see that the curve is traced as t increases
from -2 to 2.
21
24
24
24
6
Parabolic cylinder
(0, 0, 2)
C: x=1
y=r
(6 +124-1)
6
Ellipsoid
Curve in
space
(-2,4,0)
(2, 4,0)
The curve C is the intersection of the semiellipsoid and the parabolic cylinder.
Figure 12.5

attachment

Tags:
ellipsoid

parabola

parabolic cylinder

Space curve

Trace vector

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

## Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser. Peter M.
So far so good! It's safe and legit. My paper was finished on time...very excited! Sean O.N.
Experience was easy, prompt and timely. Awesome first experience with a site like this. Worked out well.Thank you. Angela M.J.
Good easy. I like the bidding because you can choose the writer and read reviews from other students Lee Y.
My writer had to change some ideas that she misunderstood. She was really nice and kind. Kelvin J.
I have used other writing websites and this by far as been way better thus far! =) Antony B.
I received an, "A". Definitely will reach out to her again and I highly recommend her. Thank you very much.  