# Exam_I_F07 - MATH 115 FIRST MIDTERM EXAM October 9 2007...

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2 1. (3 points each. No partial credit.) The questions on this page are True or False. They do not require an explanation. For each question, circle your choice for the correct answer. Only answer True when the statement is ALWAYS True. (a) The function f ( x ) = e x x 2 - 1 is continuous on [2 , 5] . True False (b) Suppose g is a differentiable function on ( - 1 , 1) with g (1) < 0 and g ( x ) > 0 for x in ( - 1 , 1) , then g ( x ) has a zero on the interval [ - 1 , 1] . True False (c) If lim x 0 - f ( x ) = lim x 0 + f ( x ) then f is continuous at x = 0 . True False (d) If x > 0 and e xy 2 = x 2 , then y = 2 x (1 + ln x ) .
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