Unformatted text preview: Implicit di±erentiation gives, x 2 y ′ +2 xy +2 y ′ = 3 x 2 . At P (1 , 0) this becomes, y ′ +0+2 y ′ = 3 , or 3 y ′ = 3 and hence y ′ = 1 . Therefore the tangent line in slopepoint form is ( y0) = 1( x1) so y = x1 . Therefore, E) is the answer. 5. (This is #2 on Version B) Di±erentiating with respect to t gives, dV dt = 4 πr 2 dr dt . We are given that dr dt = 1 . When r = 10 , this gives dV dt = 4 π (100)(1) = 400 π. Therefore, D) is the answer....
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 Fall '07
 FABBRI,MARC
 Math, Trigraph, The Tangent, DT DT DT

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