Question

Given the vector function r(t) ( cos3t,sin3t,t) and t=pi/9 , find the following. (a) the curvature...

Given the vector function r(t) ( cos3t,sin3t,t) and t=pi/9 ,

find the following.

(a) the curvature at given t,
(b) the unit tangent vector T at given t

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
Consider the following vector function. r(t) = <9t,1/2(t)2,t2> (a) Find the unit tangent and unit normal...
Consider the following vector function. r(t) = <9t,1/2(t)2,t2> (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use this formula to find the curvature. κ(t) =
Find the unit tangent vector T(t) and the curvature κ(t) for the curve r(t) = <6t^3...
Find the unit tangent vector T(t) and the curvature κ(t) for the curve r(t) = <6t^3 , t, −3t^2 >.
Consider the following vector function. r(t) = (3sqrt(2)t, e3t, e−3t ) Find the Curvature.
Consider the following vector function. r(t) = (3sqrt(2)t, e3t, e−3t ) Find the Curvature.
Consider the following vector function. r(t) = 6t2, sin(t) − t cos(t), cos(t) + t sin(t)...
Consider the following vector function. r(t) = 6t2, sin(t) − t cos(t), cos(t) + t sin(t) ,    t > 0 (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) = (b) Use this formula to find the curvature. κ(t) =
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3...
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3 + 1 2 t 2 i (a) Find r 0 (t) (b) Find the unit tangent vector to the space curve of r(t) at t = 3. (c) Find the vector equation of the tangent line to the curve at t = 3
Find the unit tangent vector T and the principal unit normal vector N for the following...
Find the unit tangent vector T and the principal unit normal vector N for the following curve. r(t) = (9t,9ln(cost)) for -(pi/2) < t < pi/2
find yp(t) of y'' +9y=3/(sin3t), 0<t<pi/2
find yp(t) of y'' +9y=3/(sin3t), 0<t<pi/2
1. A plane curve has been parametrized with the following vector-valued function, r(t) = (t +...
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...
Let r(t) = < 2cost, 3t, 2sint > represent a parameterized curve. Find the: a) unit...
Let r(t) = < 2cost, 3t, 2sint > represent a parameterized curve. Find the: a) unit tangent vector b) unit normal vector c) curvature
Find the vectors T and N and the binormal vector B = T ⨯ N, for...
Find the vectors T and N and the binormal vector B = T ⨯ N, for the vector-valued function r(t) at the given value of t. r(t) = 6 cos(2t)i + 6 sin(2t)j + tk,    t0 = pi/4 find: T(pi/4)= N(pi/4)= B(pi/4)=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT