Problem

(a) Find the arc length function for the curve $ …

03:57

Question

Answered step-by-step

Problem 35 Hard Difficulty

Find the arc length function for the curve $ y = 2x^{\frac{3}{2}} $ with starting point $ P_0 (1, 2) $.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Clarissa Noh

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 8

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Video Transcript

it's clear. So when you read here so we have f of facts is equal to two X to the three house power. So that gives us a derivative. The three ex So 1/2 power one plus that they're a bit of square. Gives us one plus nine x someone we plug it in to our bowling formula. We're just gonna change acts to t you get the integral from one to x square of one plus 90 DT, we're gonna make you be equal to one plus 90. So nine e t is equal to do you so d t is equal to do you divide it by nine. This changes the limits of integration. So it goes from one to arks and it becomes ton. Since we're adding nine and one plus nine x you of 1/2 power, do you over nine. This is equal to one over nine turns 2/3 power 2/3 comes you to the 3/2 power. This is from 10 to one plus nine x. This gives us two times one plus nine x the three house power minus 20 square root of 10 over 27

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem

(a) Find the arc length function for the curve $ …

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Heather Zimmers

Kayleah Tsai

Caleb Elmore

Kristen Karbon

Calculus 2 / BC Courses

Recommended Videos

Watch More Solved Questions in Chapter 8

Video Transcript

James Stewart

Calculus: Early Transcendentals

Heather Zimmers

Kayleah Tsai

Caleb Elmore

Kristen Karbon

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus: Early Transcendentals

Heather Zimmers

Kayleah Tsai

Caleb Elmore

Kristen Karbon

James StewartCalculus: Early Transcendentals

Heather Zimmers

Kayleah Tsai

Caleb Elmore

Kristen Karbon

James Stewart

Calculus: Early Transcendentals