Question

what is the length of the curve c[-1,1] in R2 with c(t) = (√1+t,t) as an...

what is the length of the curve
c[-1,1] in R2 with c(t) = (√1+t,t) as an integral

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
Determine the intersection of the lines: r1=(2,-1,-1)+t(1,2,-1) and r2=(-1,-1,1)+u(-2,-1,1)
Determine the intersection of the lines: r1=(2,-1,-1)+t(1,2,-1) and r2=(-1,-1,1)+u(-2,-1,1)
Let C be the curve parameterized by the path c: [0, 1] - → R2 c...
Let C be the curve parameterized by the path c: [0, 1] - → R2 c (t) = (cos 2πt, sin 2πt)T Let ω (x, y) = y dx + (2x + y) dy. Calculate w integral . is the form exact ? why ?
Let A equal the 2x2 matrix: [1 -2] [2 -1] and let T=LA R2->R2. (Notice that...
Let A equal the 2x2 matrix: [1 -2] [2 -1] and let T=LA R2->R2. (Notice that this means T(x,y)=(x-2y,2x-y), and that the matrix representation of T with respect to the standard basis is A.) a. Find the matrix representation [T]BB where B={(1,1),(-1,1)} b. Find an invertible 2x2 matrix Q so that [T]B = Q-1AQ
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.
Question(9) Curve ? = t - sin t, y = 1 - cos t, 0 ≤...
Question(9) Curve ? = t - sin t, y = 1 - cos t, 0 ≤ ? ≤ 2? given. a) Take the derivatives of x and y according to t and arrange them. b) Write and edit the integral that gives the surface area of the object formed by rotating the given curve around the x axis. c) Solve the integral and find the surface area.
Find the arc length of the given curve on the specified interval, (t, t, t2), for...
Find the arc length of the given curve on the specified interval, (t, t, t2), for 1 ≤ t ≤ 2
1. a) Get the arc length of the curve. r(t)= (cos(t) + tsin(t), sin(t) - tcos(t),...
1. a) Get the arc length of the curve. r(t)= (cos(t) + tsin(t), sin(t) - tcos(t), √3/2 t^2) in the Interval 1 ≤ t ≤ 4 b) Get the curvature of r(t) = (e^2t sen(t), e^2t, e^2t cos (t))
x=2−t, y=2t+1; −1≤t≤1 (a) Sketch the parametrized curve using any method, but you must explain your...
x=2−t, y=2t+1; −1≤t≤1 (a) Sketch the parametrized curve using any method, but you must explain your thinking in clear sentences, or show mathematical work. Pay attention to the given domain. (b) Choose one of (i) or (ii) below – only one will be graded. i. Set up and solve an integral for the arc length of this curve OR ii. Calculate the equation of the tangent line to this curve at some point (tell the reader which point you chose!)...
(1) Consider the linear operator T : R2 ! R2 defined by T x y =...
(1) Consider the linear operator T : R2 ! R2 defined by T x y = 117x + 80y ??168x ?? 115y : Compute the eigenvalues of this operator, and an eigenvector for each eigen-
Consider the parametric curve given by x ( t ) = e t c o s...
Consider the parametric curve given by x ( t ) = e t c o s ( t ) , y ( t ) = e t s i n ( t ) , t ≥ 0. Find the arc-length of this curve over the interval 0 ≤ t ≤ 3.