Please answer all 15 of the attached questions and ignore the preselected answers.

Question 1(Multiple Choice Worth 5 points) (05.06) Use your calculator to evaluate J xsin(x) dx . O 0.152 O-0.218 O 0.262 O-0.555Question 2(Mumple Choice Worth 5 points) (07.02) The slope eld for a differential equation is shown in the figure. Determine the general solution of this equation. - g(x) O lim f(x) = 0 x->cog(x) O lim f (x ) - = 00 x-> g(x) O None of theseQuestion 10(Multiple Choice Worth 5 points) (06.03) To three decimal places, find the average value of f(x) = 2x2 + 3 on the interval [0, 2]. 07.333 5.667 O 4.000 O 27.000 Question 12(Multiple Choice Worth 5 points) (05.04) Find the antiderivative of 10') . #xi . 3 O x?+C "D 0 None of these Question 13(Multiple Choice Worth 5 points) If:1 (07.01) Find the domain for the particular solution to the differential equation % -, with initial condition y(1) = 1. x Ox>0 Ox 0. Find the value of k so that the area of the region R is 36 square units