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Plot a vector valued function

mark

(10 pts)

For this problem, you’re going to plot a vector valued function. You should then respond to this post by

Typing out your assigned vector valued function in LaTeX format, and
Including a 3D graph of your vector valued function.

Like before, you’re welcome to try any 3D graphing software that you know. I recommend that most folks try GeoGebra 3D, which has a simple, Desmos like interface for 3D graphs.

To get your assigned vector valued function, choose your forum login name from the list below:

audrey

My vector valued function is:

\vec{p}(t) = \langle \sin\left(3~\mathrm{t}\right), \mathrm{t}+\sin\left(\mathrm{t}\right), \mathrm{t}+\cos\left(\mathrm{t}\right) \rangle.

I can plot this using GeoGebra, which generates an image that looks like so:

Samwise

My assigned vector valued function is:

p(t)=<sin(2t),3t+sin(3t),cos(3t)>.

Plotting this using GeoGebra, I got the following graph:

impish_wyvern

My assigned vector valued function is:

\vec{p}(t) = \langle 3t+\cos(t), 3t+\cos(t), 2t+1\rangle

I used GeoGebra to make the following graph:

whardin3

My vector-valued function is \vec{p}(t)= \langle 1,2t+sin(t),cos(3t)\rangle

Graph enclosed:

Alexander_The_OK

I had the following vector \vec{p}(t)=\langle2~\mathrm{t}+\cos(3t),\cos(3t),\langle2~t+\cos(3t)\rangle
which when graphed looked like this.

one very loopy boy.

Colby_Howell

My vector valued function is:

\vec{p}(t) = \langle \mathrm{t}+\cos\left(2~\mathrm{t}\right), \mathrm{t}, 3~\mathrm{t}+\sin\left(3~\mathrm{t}\right) \rangle

I plotted this using GeoGebra, which gave a graph that looks like this:

myost

my vector valued function is:

\vec{p}(t) = \langle t+1, \mathrm{t}+\cos\left(\mathrm{3t}\right), 3 \mathrm{t} \rangle.

I used GeoGebra to plot this, which generated the image:

ScottLashley

My assigned vector valued function is: p(t) =<t+cos(t),2t+cos(3t),3t>.

mparog

My assigned vector valued function is:

p(t) = <0,3t + cos(t), sin(t)>

Using GeoGebra, the graph is:

dspivey

My vector-valued function is: p(t)=<t+sin(2t),3t+sin(3t),3t+cos(2t)>
And it looks like this.

mbanawan

My vector valued function is
p(t) = <t + cos(2t), sin(t), 3t + sin(2t)>
and I plotted it on GeoGebra to get this graph.

nfitzen

My vector-valued function is:

\vec{p}(t)=\langle t+\cos(3t), 3t, t+\cos(3t) \rangle.

Plotting using GeoGebra gives the following graph:

mhernan5

My assigned vector valued function is:
p(t)=<3t+sin(t),3t+cos(t),2t+sin(3t)>
I used GeoGebra to get the following graph:

dyost

My vector valued function is:

\vec{p}(t)=\langle 2~\mathrm{t}+\cos\left(t\right), \mathrm{t}+1,\sin\left(t\right)\rangle

I plotted this using GeoGebra, which generated this image:

mark

@mbanawan Shouldn’t your z-coordinate vary?

aaudia

My vector-valued function is \vec{p}(t) = \langle t, cos(3t), t+sin(t) \rangle. The graph is below:

mbanawan

Yes, I’m not sure why GeoGebra didn’t graph it properly the first time I inputted it. I edited the post with the right graph.

rstahles

My vector-valued function is:

\vec{p}(t) = \langle 3t+\cos\left(3\mathrm{t}\right), \mathrm{t}+\sin\left(\mathrm{t}\right), 1 \rangle.

I can plot this using GeoGebra , which generates an image that looks like so:

Sara

My function was:

\vec{p}(t) = \langle(sin(2t), t, 2t+cos(2t))\rangle

Which looks like: