Find the arc length of : f(x)= 1+(2/3)x^(3/2) 0?x?3
S sareen New member Joined Oct 9, 2009 Messages 24 Oct 28, 2009 #1 Find the arc length of : f(x)= 1+(2/3)x^(3/2) 0?x?3
F fasteddie65 Full Member Joined Nov 1, 2008 Messages 360 Oct 28, 2009 #2 f(x)= 1+(2/3)x^(3/2) 0?x?3 f'(x) = x^(1/2) ?(1 + (f'(x))^2 = ?(1 + x) L = ? ?(1 + (f'(x))^2 dx = ? ? (1 + x) dx = ? (1 + x)^(1/2) dx = (2/3) (1 + x)^(3/2) Evaluating, (2/3) [(1 + 3)^(3/2) - (1 + 0)^(3/2)] = (2/3) (4^(3/2) - 1^(3/2)] = (2/3) (8 - 1) = 14/3
f(x)= 1+(2/3)x^(3/2) 0?x?3 f'(x) = x^(1/2) ?(1 + (f'(x))^2 = ?(1 + x) L = ? ?(1 + (f'(x))^2 dx = ? ? (1 + x) dx = ? (1 + x)^(1/2) dx = (2/3) (1 + x)^(3/2) Evaluating, (2/3) [(1 + 3)^(3/2) - (1 + 0)^(3/2)] = (2/3) (4^(3/2) - 1^(3/2)] = (2/3) (8 - 1) = 14/3
S sareen New member Joined Oct 9, 2009 Messages 24 Oct 28, 2009 #3 I'm so greatful to you. Thank you so much .
