Find the length of the curve y=3x^3/2 from x=0 to x=5/9

Question

01-02-2017
Mathematics

contestada

Find the length of the curve y=3x^3/2 from x=0 to x=5/9

Respuesta :

Otras preguntas

Identify the sentence that has correct subjectdash–verb agreement. a. In the evening, Brad and I often is out to dinner. b. In the evening, Brad and I often g

How can i simplify the square root of 49x^8?

30-[(9x2)-(3x4)] numerical expression ;)

Foreshadowing means A. putting secondary characters in the foreground of the story. B. hinting at things that will occur later. C. showing the readers the dark

Which Indian piece of literature contains the passages called the Bhagavad Gita? a. the Mahabharata c. the Ramayana b. the Siddheswara d. the Panchatantra

How much would a 185 pound astronaut weigh on the moon

Yo_________muy inteligente. Answer for Blank 1:

Genetic information is carried in ATP molecules. True False

If someone is a “nativist,” who is he or she against?

LammettHash LammettHash · Answer 1 · 2017-02-07T20:16:17+01:00

LammettHash LammettHash

07-02-2017

[tex]y=3x^{3/2}\implies y'=\dfrac92x^{1/2}[/tex]

The length of the curve is

[tex]L=\displaystyle\int_0^{5/9}\sqrt{1+\left(\dfrac92x^{1/2}\right)^2}\,\mathrm dx=\int_0^{5/9}\sqrt{1+\dfrac{81}4x}\,\mathrm dx=\dfrac{335}{243}[/tex]

Answer Link