Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the exact length of the curve.
$ y = \displaystyle \frac{x^3}{3} + \displaystyle \frac{1}{4x} $ , $ 1 \le x \le 2 $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Clarissa Noh
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 8
Further Applications of Integration
Section 1
Arc Length
Applications of Integration
Oregon State University
University of Nottingham
Boston College
Lectures
03:27
Find the exact length of t…
02:41
02:50
03:05
Graph the curve and find i…
02:02
0:00
02:39
02:58
07:17
04:09
03:26
03:10
Hey, it's clear. Someone new right here. So we have lying is equal to X cube over three plus one over four X. We're first going to find the derivative. So do you. Why, over DX We got X squared minus one over four X square. Afterwards, we're gonna square. So we get. Do you want? Over. Deac Square is equal to X square minus one over four square square. Um, excuse us X to the fourth minus one, huh? Plus won over 16. Next to the fourth. Now, when we plug it into our arc length equation, yeah, l is equal to from 1 to 2 square root of one plus next to the fourth minus one have plus one over 16 x to the fourth DDX. This becomes X to the fourth plus one Have plus one over 16 x to the fourth. This could be factored into X square plus one over four. Next square square. So when you put it into our equation comes from 1 to 2 square root of X square, plus one over four x square square. The this equals 59 over 24. Yeah,
View More Answers From This Book
Find Another Textbook
01:52
the 3 balls shown below is What is the missing The mean of the numbers on nu…
01:58
The diagram shows a rhombus inside a regular hexagon.Work out the size o…
02:42
The length of a rectangular plot of land is 7 m greater than its width: The …
02:14
The right triangle below is dilated by scale factor of 2 Find the perimeter …
01:19
The ordered pair given in the bottom rOw can be written using function notat…
02:10
2 Find the dimensions of a rectangle if its length is 4 more than its width:…
00:34
The two figures are similar: Find the ratios (red to blue) of the perim simp…
02:30
The proper dose of a certain drug for an adult is 0.25 mg for every pound of…
01:05
Draw the image of rectangle ABCD under dilation using center P and scale fac…
02:20
2 Rectangle A'B'C' D is the image of rectangle ABCD after dil…