4:21 a courses.moodle.kpu.ca MATH 1220 S10 Assignment 4 Due date: March 21, 2023 in class Total marks: 50 Attempt all questions and show all your work. Leave answer's in exact form (i.e. In 1.03 or 9/7 instead of a decimal approximation). This assignment covers sections 7.4, 7.7, 7.8, and 11.1 of the notes and contains 5 questions. 1. (10 points) Evaluate ( + 3+2 x(x2 + 1) 2. (6 points) Approximate / (x2 + 5x + 1) dax using the Trapezoid Rule and n = 4 subintervals. Do not use the Fundamental Theorem of Calculus in this question. 3. (14 points) Evaluate / (x - 4)e- 2xdx. 4. (6 points) Use the comparison test to determine whether12dx converges or diverges. 5. (14 points) Determine the limits of the following sequences. (a) lim (1 + sinn)3 (Use l'Hopital's rule) 1-+00 (b) lim COS 7 72 (Use the Squeeze rule) n-too n2 + 1 1 + : )