MATH 132 Midterm: MATH132 Exam 1 2007 Spring Question
Document Summary
Lecturer university of massachusetts amherst department of mathematics and statistics. 7:00-8:30 p. m: turn o all cell phones and watch alarms! Put away cell phones, ipods, etc: there are six (6) questions, do all work in this exam booklet. 100: (16%) an object is moving along a line. At each time t, its velocity v(t) is given by v(t) =t 2 2t 3. Find the total distance traveled by the object from time t = 1 to time t = 5. 1: (3 6% = 18%) use the method of substitution to evaluate each of the following. If the integral is a de nite and indicate what substitution you are using. integral, give an exact value and not a numerical approximation. (cid:2) (a) sin x cos(cos x) dx (cid:2) e. 1 (b) (1 + ln x)2 x dx (cid:2) (c) 2: (16%) suppose the derivative f (cid:2) of f is continuous, (cid:2) 4 f(1) = 12, and.
