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Unformatted text preview: T F If f ( 3 ) = g ( 3 ) then the tangent lines to the graphs of f and g at x = 3 coincide. T F There exists a function which is continuous on [ , 1 ] and has a vertical asymptote at x = 1 2 . 2 Problem 3: ( 5 points ) Find y 00 if x 3 + y 3 = 1. 3 Problem 4: ( 5 points ) Let f ( x ) = √ x 2 + 1. Using the limit deﬁnition, ﬁnd f ( 1 ) . Then ﬁnd the equation of the tangent line to the graph of f where x = 1. 4 Problem 5: ( 5 points ) Consider the function g ( t ) = ( 1√ t ) 2 1t a) Compute the derivative of g ( t ) . b) Find the vertical and the horizontal asymptotes of g ( t ) . Justify! 5...
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 Spring '10
 MARYAMNAMAZI
 Math, Calculus, Logic, Derivative, #, Mathematical analysis, Limit of a function

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