Question

How can one use a vector valued function tor represent a curve in two dimensions?

Explain briefly please

Answer #1

1. A plane curve has been parametrized with the following
vector-valued function, r(t) = (t + 2)i + (-2t2 + t + 1)j a.
Carefully make 2 sketches of the plane curve over the interval . (5
pts) b. Compute the velocity and acceleration vectors, v(t) and
a(t). (6 pts) c. On the 1st graph, sketch the position, velocity
and acceleration vectors at t=-1. (5 pts) d. Compute the unit
tangent and principal unit normal vectors, T and N at...

The curve C is defined by the vector function: r(t) = 3ti +
cos2tj + sin2tk. Find the Equations to the tangent line to the
curve at the point P(0,1,0) corresponding to t=0. (please use a
different parameter, say u, for tangent line)

Given that it cannot be described by a function, how can a
looping curve (or any curve that fails the vertical line test) be
described mathematically?
Simple legible and 2 sentences please.

Use a computer to graph the curve with the given vector
equation. Make sure you choose a parameter domain and view-points
that reveal the true nature of the curve
r(t)=< te^t, e^-t, t>
r(t) = < cos(8cos t) sint t , sin(8cos t) sin t, cos t
>
Please I need to graph in MATLAB these are problems for Stewart
Calculus 8th edition.
I don't not how to use matlab please I need the commands. Thank
you for your help!

. Two blocks, A and B, are made of the same material.
Block A has dimensions l × w × h =
L × 2L × L and Block B has dimensions
2L × 2L × 2L. If the temperature
changes, what is
the change in the volume of the two blocks, (
Ans 8L3)
the change in the cross-sectional area l×w,
and ( Ans 4L2)
the change in the height h of the two
blocks? ( Ans 2L)
*can someone please explain how to do...

1. Briefly describe, how and why the macroeconomic aggregated
demand,AD curve is responsible to the Macroeconomic General Price
Level P
Can you please explain this

We can experiment with two parallelepipeds (boxes) that are
similar in shape. The dimensions of the smaller box are 2 in. x 4
in. x 3 in. The larger box has twice the dimensions of the smaller
. Draw and label the large box
1. Surface area (SA) of a box is the sum of the areas of all six
sides. Compare the SAs of the two boxes.
top or bottom
front or back
side
total surface area
small box...

you can use your own idea or research
6. Describe a dose-response curve and explain the significance
of certain features of the dose response curve like the threshold,
slope and maximal asymptote. How does this curve relate to potency
and maximal response of drug?

Briefly explain how we can determine if one comparison is more
comprehensive than another.

what is an isoelectric point of a protein? explain how one can
use this property to separate proteins. Why is the selection of a
buffer with proper ph important

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