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

divide 88 ballots into 2 groups so the ratio is 1 to 3
which is the final step in bisecting a line segment?
Simplify the product. (x-4)(x+3) a. x^2-7x-12 b. x^2+x-12 c. x^2-x-12 d. x^2-12x-1
Explain how to use rounding when estimating
What is least to greatest with these following numbers ? -0.615,-5/8,-0.62
Five friends divide three bags of apples equally between them. Write the division represented in this situation as a fraction.
what is the greatest possible whole number remainder if you divide any number by 41
The African slave trade helped in the advancement ofcrops.agricultural techniques.medical knowledge.All of the above.
Which was not a factor that helped bring about the Reformation? a. The sale of indulgences to raise money for the pope's use angered many people. b. Some Chur
A movie cost $3,254,107 to produce what digit is in the hundred thousands place