# several calculus problems from homework assignment that i couldn't solve II

• April 28th 2011, 07:33 PM
striving
several calculus problems from homework assignment that i couldn't solve II
3. Let C be the arc of y=8-(x^2)/2 which lies above the x-axis. Find the longest line segment both of whose endpoints lie on C.
(A) 7.7
(B) 8
(C) 8.9
(D) 9.1
(E) 12.5

$L=\displaystyle\int_{-4}^{\;4}\sqrt {1+(y')^2}\;dx=2\displaystyle\int_{0}^4\sqrt {1+x^2}\;dx=\ldots$