Question

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

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find r(t) for the given conditions. r''(t) = −7 cos(t)j − 3 sin(t)k,     r'(0) = 3k,     r(0) =...
Find r(t) for the given conditions. r''(t) = −7 cos(t)j − 3 sin(t)k,     r'(0) = 3k,     r(0) = 7j
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 arc length of the curve r(t) = <t^2 cos(t), t^2 sin(t)> from the...
. Find the arc length of the curve r(t) = <t^2 cos(t), t^2 sin(t)> from the point (0, 0) to (−π^2 , 0).
find the length of the curve r(t)=(tsint+cost)i+(tcost-sint)j from t=sqrt(2) to 2
find the length of the curve r(t)=(tsint+cost)i+(tcost-sint)j from t=sqrt(2) to 2
Find the equation of the tangent line to the curve r = 2 sin ⁡ θ...
Find the equation of the tangent line to the curve r = 2 sin ⁡ θ + cos ⁡ θ at the point ( x 0 , y 0 ) = ( − 1 , 3 )
Write the curve given by r(t)=((3/2)t)i+(t^3/2)j as a function r(s) parameterized by the arc length s...
Write the curve given by r(t)=((3/2)t)i+(t^3/2)j as a function r(s) parameterized by the arc length s from the point where t=0. Write your answer using standard unit vector notation.
Find T, N, B, aT, aN at t=2 (#13) 13. r(t) = (t3/3)i + (t2/2)j when...
Find T, N, B, aT, aN at t=2 (#13) 13. r(t) = (t3/3)i + (t2/2)j when t > 0
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t <...
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t < ∞. (a) Find all of the points where the tangent line is vertical. (b) Find d2y/dx2 at the point (1, 4). (c) Set up an integral for the area under the curve from t = −2 to t = −1. (d) Set up an integral for the length of the curve from t=−1 to t=1.
Let C be the curve parametrized by r(t)=(t2+2)i+(1+t)j+2t^2k, with 0≤t≤. Consider the conservative vector field F=yz2i+xz2j+2xyzk,...
Let C be the curve parametrized by r(t)=(t2+2)i+(1+t)j+2t^2k, with 0≤t≤. Consider the conservative vector field F=yz2i+xz2j+2xyzk, Calculate ∫CF⋅dr
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT