sahaunabearla sahaunabearla
  • 21-11-2016
  • Mathematics
contestada

y = (1/4)x^2 - (1/2)lnx..over the interval (1, 7e) ...what is the arc length ?

Respuesta :

Delaney1217
Delaney1217 Delaney1217
  • 22-11-2016
So, f[x] = 1/4x^2 - 1/2Ln(x) 
thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x 
thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) 
thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 
thus Sqrt[...] = (x/2 + 1/2x) 
Answer Link

Otras preguntas

why did the united states fail to join the league of nations
What's a simple method to find the cube root of a number ?
Write an entry for your blog which describes a place you have visited which has affected you or stayed in your memory and explain why this is so
which of the following expressions is equal to 1? a. 5^0 x 6^-3 x 6^3 x 5^1 b. 5^2 x 6^-2 x 6^3 x 5^-3 c. 5^2 x 5^-2 x 6^0 x 6^2 d. 5^-1 x 6^5 x 6^-5 x 5
suppose you were to grind the up and homogenate a pancreas. Do you think it would be possible to isolate insulin from this homogenate?
Which process must occur before collection? A:precipitation B:condensation C:evaporation D:none of the above
Based on your understanding of sex linkage, describe in detail why most hemophiliacs are male. Can females have hemophilia? Describe how they could inherit this
how would living in Sparta or Athens be like
Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at their math club meeting. They paid
how to get the answer to this equation 1+4=5 2+5=12 3+6=21 8+11=?