Question

What is the equation of the osculating plane of the curve X(t) = (sin t, cost,...

What is the equation of the osculating plane of the curve X(t) = (sin t, cost, t) at t =π

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find equations of the normal plane and osculating plane of the curve at the given point...
Find equations of the normal plane and osculating plane of the curve at the given point x = sin(2t), y = t, z = cos(2t) at (0, pi, 1)
Consider the parametric curve C defined by the parametric equations x = 3cos(t)sin(t) and y =...
Consider the parametric curve C defined by the parametric equations x = 3cos(t)sin(t) and y = 3sin(t). Find the expression which represents the tangent of line C. Write the equation of the line that is tangent to C at t = π/ 3.
Find the osculating plane of r(t) =< t2, 32 t3, t > at (1, 2/3, 1)
Find the osculating plane of r(t) =< t2, 32 t3, t > at (1, 2/3, 1)
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3...
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3 sin(t), t ∈ [0, 2π) Part a: (2 points) Give an equation relating x and y that represents the curve. Part b: (4 points) Find the slope of the tangent line to the curve when t = π 6 . Part c: (4 points) State the points (x, y) where the tangent line is horizontal
The continuous time signal x(t) = 2*sin (2*π*100*t + π/2) + sin (2*π*150*t) + 3*sin (2*π*300*t)...
The continuous time signal x(t) = 2*sin (2*π*100*t + π/2) + sin (2*π*150*t) + 3*sin (2*π*300*t) is sampled at 500 samples per second. Write the mathematical expression x(n) of the sampled discrete time signal. Show your work. What are the discrete time frequencies obtained in x(n)?
1.Let y=6x^2. Find a parametrization of the osculating circle at the point x=4. 2. Find the...
1.Let y=6x^2. Find a parametrization of the osculating circle at the point x=4. 2. Find the vector OQ−→− to the center of the osculating circle, and its radius R at the point indicated. r⃗ (t)=<2t−sin(t), 1−cos(t)>,t=π 3. Find the unit normal vector N⃗ (t) of r⃗ (t)=<10t^2, 2t^3> at t=1. 4. Find the normal vector to r⃗ (t)=<3⋅t,3⋅cos(t)> at t=π4. 5. Evaluate the curvature of r⃗ (t)=<3−12t, e^(2t−24), 24t−t2> at the point t=12. 6. Calculate the curvature function for r⃗...
For the curve x = t - sin t, y = 1 - cos t find...
For the curve x = t - sin t, y = 1 - cos t find d^2y/dx^2, and determine where the curve is concave up and down.
Find the equation of the osculating circle of the parabola y = x^2 at the origin.
Find the equation of the osculating circle of the parabola y = x^2 at the origin.
In this problem, x = c1 cos t + c2 sin t is a two-parameter family...
In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. x(π/6) = 1 2 , x'(π/6) = 0 x=
Consider the curve r(t) = cost(t)i + sin(t)j + (2/3)t2/3k Find: a. the length of the...
Consider the curve r(t) = cost(t)i + sin(t)j + (2/3)t2/3k Find: a. the length of the curve from t = 0 to t = 2pi. b. the equation of the tangent line at the point t = 0. c. the speed of the point moving along the curve at the point t = 2pi
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT