MATH 129 Midterm: MATH 129 University of Arizona Exam 2
31 Jan 2019
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By signing my name below, i agree that i am following all rules and regulations set forth by the code of academic integrity. Furthermore, i agree that i am following all rules set by my instructor and by the course policy for this exam. This includes ensuring that all calculator programs have been deleted. 1: determine if the following improper integrals converge or diverge. Suppose f is a continuous function and that 0 < f (x) < 1/x2 on 0 x 1. Suppose g is a continuous function and thatr converges g(2x) dx. 1 g(x) dx converges. diverges impossible to tell. 2: evaluate the integral below or prove that it diverges. The point of this problem is to demonstrate your understanding of improper integrals by treating every step with care, using correct notation, and fully justifying your work. 3: figure 1 shows y = x and y = sin(x) for your convenience.
