MAT-1120 Midterm: MATH 1120 App State Fall2010 Test3
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/24 points) taylor polynomials (a) let f (x) = x3 +2x+3. P50(x) = 6 + 3(x 2)2 4(x 2)5 + 5(x 2)6 2(x 2)50. h(2) = h(45)(2) = Find the 1st-order fourier polynomial for f (x). (b) g(x) = sin2(x) + 3 sin(x) = /16 points) an improper problem. (a) let f (x) = e 2x when x 0 and f (x) = 0 when x < 0. Why or why not? (b) does z 0. Note: i"ve changed the lower bound from 0 to 1 to avoid an unintended technical di culty. /14 points) probably a good problem. (a) suppose that the average weight of an incoming male student is 165 lbs. and that the weights of incoming male students are normally distributed with a standard deviation of 5. Write down an integral which computes the probability that an incoming male student weighs less than 140 lbs.
