💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Find the length of the arc of the curve from point $ P $ to point $ Q $.

$ x^2 = (y - 4)^3 $ , $ P(1, 5) $ , $ Q(8, 8) $

$\frac{1}{27}(80 \sqrt{10}-13 \sqrt{13})$

Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

Baylor University

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

06:03

Find the length of the arc…

01:13

Find the exact arc length …

03:09

Find the arc length functi…

01:39

01:19

02:27

11:43

02:15

06:16

(a) Find the arc length fu…

02:36

Find the length of the cur…

Hey, it's clear. So when you're in here so we have X square is equal to why minus four kids, we have two points. He, uh, when comma five, two, meet comma, Ain't birth gonna solve for X? We get plus or minus square e of why minus four. Cute. We know that the points of positive X coordinates. So we're only then I used the positive, so e equals a lie minus four to the 3/2 policy. We're gonna find d X over D Y in the equals three house. Why? Minus four? No one. How Now we're gonna plug it into our equation. Park links equations from five to eight. Square root of one plus nine over four times. Why minus four day? Why? It's five and eight since we're finding it in respect to why we're integrating in respect to why who has becomes equal to from 5 to 8. Square of one plus nine over four. Why minus and nine. Do you? Why becomes a full too integral five square root of nine. Why minus 32 Do you know why I put a 1/2 here? Louis, integrate this. It becomes on the house times, 2/3 times won over nine times nine. Why minus 32 to the three halves, 5 to 8. This is around one over 27. I'm 80 square of 10 minus 13 square of 13 which is around seven point 6337

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Find the exact arc length of the curve over the interval.$$x=\frac{1…

Find the arc length function for the curve $y=2 x^{3 / 2}$ withstarting …

Find the exact arc length of the curve over the interval.$$y=\left(x…

Find the exact arc length of the curve over the interval.$$24 x y=y^…

Find the exact arc length of the curve over the interval.$$y=x^{2 / …

Find the arc length function for the curve in Exercise $8,$ using$(0,1 /…

Find the arc length function for the curve $ y = 2x^{\frac{3}{2}} $ with sta…

(a) Find the arc length function for the curve measured from the point $ P $…

Find the length of the curve $y=\frac{x^{2}}{4}$ over $[0,8]$