Question
Show that the total curvature of the ellipse is always 2π.
Show that the total curvature of the ellipse is always 2π.
Homework Answers
Answer #1
if
yo
Not the answer you're looking for?
Similar Questions
Consider the ellipse r(t) =〈3 cos(t),4 sin(t)〉, for 0 ≤ t ≤ 2π. (a) At what...
Consider the ellipse r(t) =〈3 cos(t),4 sin(t)〉, for 0 ≤ t ≤
2π.
(a) At what positions does ‖r′(t)‖ have maximum and minimum
values, that is, where is a particle moving along the ellipse
moving the fastest and slowest? Your answer will be vectors.
(b) At what positions does the curvature have maximum and
minimum values? Your answer will be vectors.
Give an example to show that the curvature k(t) of a regular curve might not be...
Give an example to show that the curvature k(t) of a regular curve
might not be a smooth function of t without the assumption that
k>0.
An audio frequency signal 10 sin(2π×500t) is used to amplitude modulate a carrier of 50 sin(2π×105...
An audio frequency signal 10 sin(2π×500t) is used to
amplitude modulate a carrier of 50 sin(2π×105
t).
Calculate:
a) Frequency of side bands
b) Bandwidth
c) Modulation index
d) Amplitude of each side band.
e) Total power delivered to a load of 600Ω.
The circumference of a unit circle is 2π. The absolute value of -3π/2 is: ? of...
The circumference of a unit circle is 2π. The absolute value of
-3π/2 is: ?
of the total circumference of the unit circle
.
Consider the signal x(t) = 3 cos 2π(30)t + 4 . (a) Plot the spectrum of...
Consider the signal x(t) = 3 cos 2π(30)t + 4 .
(a) Plot the spectrum of the signal x(t). Show the spectrum as a
function of f in Hz. ?π? For the remainder of this problem, assume
that the signal x(t) is sampled to produce the discrete-time signal
x[n] at a rate of fs = 50 Hz.
b Sketch the spectrum for the sampled signal x[n]. The spectrum
should be a function of the normalized frequency variable ωˆ over
the...
Focal length of a concave mirror, true or false: 1. It is always on the side...
Focal length of a concave mirror, true or false:
1. It is always on the side of the mirror opposite of where the
image forms
2. It is always negative
3. It is always positive
4. It is always equal to 1/2 the radius of the curvature of the
mirror.
-------------------------
So far I believe 3 and 4 are true and the rest are false.
We will find the maximum and minimum values of f(x, y) = xy on the ellipse...
We will find the maximum and minimum values of f(x, y) = xy on
the ellipse (x^2)/4+ y^2 = 1 (so our constraint function is g(x, y)
= (x^2)/4 + y^2 ).
a) Find ∇f and ∇g.
b) You should notice that there are no places on the ellipse
where ∇g = 0, so we just need to find the points on the ellipse
where ∇f(x, y) = λ∇g(x, y) for some λ. Find the points on the
ellipse where...
In Euclidean (flat) space, a circle’s circumference C is related to its radius r by C...
In Euclidean (flat) space, a circle’s circumference C is related
to its radius r by C = 2πr. Formally, this can be shown by
integrating the infinitesimal distance element ds around the
circumference:
C = ! ds = ! 2π 0 rdθ = 2πr , (1)
where the second equality holds because the 2-D Euclidean metric
is ds2 = dr2 + r2dθ2, and dr = 0 for a circle of constant radius
r.
(a) In a 2-D space of positive...
Determine whether the shapes given below are always, sometimes, or never similar. Briefly explain your answers....
Determine whether the shapes given below are always, sometimes,
or never similar. Briefly explain your answers. (Hint: The scale
factor might be useful for some of these.)
1 A large circle and a smaller circle.
2 A large ellipse (oval) and a smaller ellipse.
3 Two rectangles.
4 Two *golden* rectangles.
5 Two pentagons.
6 Two *regular* pentagons.
7 A regular pentagon and a regular hexagon.
8 Two isosceles triangles.
Show that strictly stationary time series is not always weakly stationary time series (with counter example...
Show that strictly stationary time series is not always weakly
stationary time series (with counter example which is not IID). And
show that weakly stationary time series is not always strictly
stationary time series.
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 43 seconds ago
asked 2 minutes ago
asked 5 minutes ago
asked 26 minutes ago
asked 31 minutes ago
asked 37 minutes ago
asked 52 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago