31dfcaa631b8a5966a48515ceaac02a1 - √ 8+x x The curves...

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Unformatted text preview: √ 8+x x The curves intersect when 2 + x = =2+ ⇒ 4 4 2 √ x x x= ⇒ x= ⇒ 4 16 16x − x2 = 0 ⇒ x(16 − x) = 0 ⇒ x = 0 or 16, so √ √ x 8+x 16 16 d x = 0 (2 + x ) − 2 + dx A = 0 (2 + x ) − 4 4 16 1 2 1 128 256 32 16 √ =0 = x − x dx = x3/2 − x2 = − 4 3 8 3 8 3 0 6 5 4 y 3 2 1 0 2 4 6 8 10 x 12 14 16 18 ...
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