Find the exact length of the curve. y= (x-x^2)^1/2+ sin^-1(x)^1/2 I get confused after I try to square y'. I would appreciate if all steps are clearly shown.
- print Print
- list Cite
Expert Answers
Luca B.
| Certified Educator
calendarEducator since 2011
write5,348 answers
starTop subjects are Math, Science, and Business
You should evaluate the length of the curve using the following formula such that:
`int_a^b sqrt(1 + ((dy)/(dx))^2)dx `
You need to differentiate the given function with respect to x, using the chain rule such that:
`(dy)/(dx) = (1-2x)/(2sqrt(x - x^2)) + 1/(sqrt(1 - (sqrt x)^2))*(1/(2sqrt x))`
`(dy)/(dx) = (1-2x)/(2sqrt(x - x^2)) +...
(The entire section contains 202 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- find the exact length of the curve, `x=(1/8)y^4+1/(4y^2)` `1<=y<=2` please explain as...
- 1 Educator Answer
- Find the exact length of the curve y=2/3(x^2-1)^(3/2), 1 ≤ x ≤ 3 i dont know ho to start off...
- 1 Educator Answer
- Find the volume of the solid obtained by rotating the region bounded by the given curves about...
- 1 Educator Answer
- Find the exact area enclosed between the curve y=sqrt(4-x^2) and the line x-y+2=0
- 1 Educator Answer
- Find an equation of the tangent line to the given curve at the specified point.y=...
- 4 Educator Answers