Question: (a) Well-behaved functions u and v are defined on the interval [a,b], where they obey u(a) = 8, u(b) = 4; v(a) = 4,

(a) Well-behaved functions u and v are defined on the interval [a,b],

(a) Well-behaved functions u and v are defined on the interval [a,b], where they obey u(a) = 8, u(b) = 4; v(a) = 4, v(b) = 7. Find the value indicated below. So u(x)v (x) dx + o u'(x)v(x) dx = a a (b) For the functions in part (a), suppose also that u' (a) = 6, u' (b) = 8; v (a) = 4, v (b) = 2. Find the value indicated below. f" u(x)v" (x) dx = ["u" (x)v(x)dx = a - a

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