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Unformatted text preview: Implicit dierentiation 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 slope-point form is ( y-0) = 1( x-1) so y = x-1 . Therefore, E) is the answer. 5. (This is #2 on Version B) Dierentiating with respect to t gives, dV dt = 4 r 2 dr dt . We are given that dr dt = 1 . When r = 10 , this gives dV dt = 4 (100)(1) = 400 . Therefore, D) is the answer....
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This note was uploaded on 03/30/2008 for the course MATH 140B taught by Professor Fabbri,marc during the Fall '07 term at Pennsylvania State University, University Park.
- Fall '07