2 (7 points each) Consider the circle parametrized by r(t) 3,6 cos t, 6 sin t). (a) Compute its are length over the interval 0 < wfind an are leugth pi of the circle. 2 (7 points each) Con...

Question

Question

2 (7 points each) Consider the circle parametrized by r(t) 3,6 cos t, 6 sin t). (a) Compute its are length over the interval

Answer 1

Answer #1

Ther length is then IT 6 oare length para metriza tion of circle is then · t-S substitute it in (D f circle which is require

Answer 2

Similar Homework Help Questions

1L COS v 21) Let H denote the surface parametrized by r(u, )sin, where 7 0S11 land 0 < u < 2T. (a...

1L COS v 21) Let H denote the surface parametrized by r(u, )sin, where 7 0S11 land 0 < u < 2T. (a) Compute Tu, Tu, and Tu X T, (b) Compute 1L COS v 21) Let H denote the surface parametrized by r(u, )sin, where 7 0S11 land 0
Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute...

Let C be the helix parametrized by r(t) = (cost, sint,t), 0 <t<7/2 in R3. Compute the flow of the vector field (x – yz sin xyz, zey? – zx sin xyz, yeyz – xy sin xyz) along C.
Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on...

Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on the interval 0 <ts. Question 18 Find the curvature of the curve F(t) = (3t)i + (2+2)ż whent = -1. No new data to save. Last checked a

Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are...

Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
Consider the function r 2 cos(6) + sin(26) θ (a) By looking at the Cartesian graph, where is r 0? (For 0 21. Enter your answer using interval notation.) (b) Explain why quadrants Il and Ill of the po...

Consider the function r 2 cos(6) + sin(26) θ (a) By looking at the Cartesian graph, where is r 0? (For 0 21. Enter your answer using interval notation.) (b) Explain why quadrants Il and Ill of the polar graph are empty (c) How many values of θ for 0 θ satisfy r= 1? (d) The polar graph intersects the unit circle 4 times. Explain the discrepancy with you answer to part (c). Consider the function r 2 cos(6) +...
Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t))...

Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t)) on the interval ( <t<27 47107 Озубл 47 0 250 √107 None of the above or below Previous Ne

Problem 1. Let y be the segment [0, 2] C C parametrized by r(t) = tz,...

Problem 1. Let y be the segment [0, 2] C C parametrized by r(t) = tz, te[0,1] C R. Compute the path integral ew dw. Problem 2. Let 7 be the path defined by (O) = ei0, 0 (0,21] Compute the integral sill sin w dw. w
in each case: (e) Compute y = sin(z)cos(r) for 0 < z < π/2

in each case: (e) Compute y = sin(z)cos(r) for 0 < z < π/2
Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0<t<2m. Marks 4 3. Find...

Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0<t<2m. Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0

(1 point) In the parts below your answer must be entered using sqrt (Use of sin() and cos () is disabled.) A) Compute the discrete Fourier transform off2 -t on [0, 2) with length 4 (B) Compute the di...

(1 point) In the parts below your answer must be entered using sqrt (Use of sin() and cos () is disabled.) A) Compute the discrete Fourier transform off2 -t on [0, 2) with length 4 (B) Compute the discrete Fourier transform of g =-t on [0, 2) with length 3. r(s) = ( Flg (1 point) In the parts below your answer must be entered using sqrt (Use of sin() and cos () is disabled.) A) Compute the discrete Fourier...