MTH 140 Midterm: MTH140 - F2017 Midterm2
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1. (multiple choice question) let be a real constant. The second derivative of f (x) = tan 1 (e x) is: f (x) = 2e x (1 + e2 x)2: f (x) = a2e x. 1 + e2 x: f (x) = 0, f (x) = 2 e2 x (1 + e2 x)2, none of these. 2. (multiple choice question) for what value of the constant c is the function f contin- uous on (1, )? x4+x2+cx+1 x2+1 f (x) = : c = 3. C logx(2 2c) if x < 2 if x = 2 if x > 2: c = 0, c = 1. C: c = 2, none of these. 3. (multiple choice question: lim n , lim n . 1 x dx is equal to the following riemann sum: (1 + Write the (capital) letter of the answer in this box. Only the answer in the box will be marked.
