Question 1(Multiple Choice Worth 5 points) (05.06) Use your calculator to evaluate S xsin(x) dx . O 0.152 O-0.218 O 0.262 O-0.555Question 2(Multiple Choice Worth 5 points) (07.02) The slope field for a differential equation is shown in the figure. Determine the general solution of this equation. Oy=CX2 Ox=Cy2 Ox2 - y2 = C2 Ox2 + y2 = C2Question 3(Multiple Choice Worth 5 points) (05.05) Evaluate x2 (x3 +1)3 dx . Of ( * + x ) +c O (x3 + 1) +c 12 0 ( x ' + 1 ) +C None of theseQuestion 4(Multiple Choice Worth 5 points) (05.03) Find F '(x) for F(x) = / V+3 + 1dt. O VX3 + 1 O 3x2 Vx3 +1. 0 3 ( x 3 + 1 ) /2 - 12 None of theseQuestion 5(Multiple Choice Worth 5 points) (06.02) The base of a solid is bounded by the curve y = 'lx +2 , the x-axis and the line x = 2. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid. 0 3 O 4 O 5.333 0 None of these [[3 Question 6(Multiple Choice Worth 5 points) (08.01) If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true? O The graph of f has an x-intercept at x = c. O The graph of f has an inflection point at x = C. O The graph of f has a relative minimum at x = c None of the above is necessarily true.Question 7(Multiple Choice Worth 5 points) (07.03) The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points. x49111415 f(x) 6 11 18 21 25 012.727 011.546 016.273 013.909 Question 8(Multiple Choice Worth 5 points) (08.04) Find F '(x) for F(x) = [ sin(t2 ) at. x2 O-2xsin(x4) O sin(x4) O-sin(x4) O sin(32) - sin(x4)Question 9(Multiple Choice Worth 5 points) (08.02) Which of the following shows that f(x) grows at the same rate as g(x)? O lim T(x) =1000 x->oog(x) O lim f(x) = 0 x-> g(X) O lim f(x) = 00 x->cog(x) ONone 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 f(x) = x2 . 0 5/x3 3 +C O 2x 1/5 5 +C 5x7/5 7 -+C O None of these2] Question 13(Multiple Choice Worth 5 points) I (07.01) Find the domain for the particular solution to the differential equation % . a, 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' 02 03 O4 06 [