MAT 295 Midterm: MAT295-2009Spring
12
MAT 295 Full Course Notes
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This examination has 10 problems and 10 pages (including this one). Make sure your examination is complete before you begin work. The point values are indicated for each of the problems. Calculators may be used to check your answers, but not to justify them. Calculators that have symbolic manipulation capabilities (such as the ti-89 orti-92) are prohibited. Total (1) [26 pts] evaluate each of the following. V/rite dne if the limit does not exist. J (c) lim (1+. r)r r. (2) 12 ptsl using the definition of the derivative, find /"(x) for f (x) =2x2 -5x (3) 142 ptsl find the derivative of each of the following functions. Do not simplify your answer. (a)y=+ x2 +l (b) /(x): x"-i. Include a carefully labeled sketch as part ofyour solution. (6) ll2 ptsl consider the function f g) = 3xa - 4x3 -2 on the closed interval [-1,2].
