161E3-F01

161E3-F01 - MA 161 161E EXAM 3 FALL 2001 1 Let y = x4 x2 1...

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MA 161 & 161E EXAM 3 FALL 2001 1. Let y = x 4 + x 2 +1, x =1,and dx =2.Then dy = A. 4 B. 8 C. 12 D. 16 E. 20 2. The function f ( x )= x 3 + ax 2 + bx has critical numbers at x =1 and x =3.Find a and b A. a = - 9 ,b =6 B. a = - 8 =7 C. a = - 7 =8 D. a = - 6 =9 E. a = - 6 3. The diﬀerence between the maximum and minimum values of the function f ( x x 3 - x 2 - x on the interval [ - 1 , 2] is A. 5 27 B. 1 C. 22 27 D. 2 E. 3 1

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MA 161 & 161E EXAM 3 FALL 2001 4. f 0 ( x )=( x - 2) x 2 ( x + 3). Which line of the following table describes the behavior of f at x = - 3, 0, 2. - 30 2 A local max neither local max local min nor local min B local max local min local max C local min local max local min D local min neither local max local min nor local min E neither local max local max local min nor local min 5. f ( x )= x 7 - 7 x +17 has exactly two critical points which are at ( - 1 , 23) and (1 , 11). The number of real zeros of f is A. 0 B. 1 C. 2 D. 6 E. 7 6. The largest interval on which the function f ( x x sin x +cos x ,0 x π is increasing is A.
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161E3-F01 - MA 161 161E EXAM 3 FALL 2001 1 Let y = x4 x2 1...

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