Question 1(Multiple Choice Worth 5 points) (06.03) Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 2 - x2 on the interval 0, v2 . If so, find the x-coordinates of the point(s) guaranteed by the theorem. O No, the Mean Value Theorem for Integrals does not apply O Yes, x= WIA O Yes, x= WINT O Yes, X= w onD Question 2(Multiple Choice Worth 5 points) I (06.01) Find the area of the region bounded by the graphs of y = --x2 + 2x + 3 and y = 3. O 1.333 O 4.500 O 7.333 O -4.333 Question 3 (Fill-ln-The-Blank Worth 5 points) (0601) Find the area of the region bounded by the curves y = x2 - 1 and y = sin(x). Give your answer correct to 2 decimal places. Answer for Blank 1: 1:: Question 4(Multiple Choice Worth 5 points) (06.03) Ti Find the average value of fox). L over the interval [0, 4]. x1 O 0.40 O 4.83 Question 5(Multiple Choice Worth 5 points) (06.02) The region in the rst quadrant bounded by the x-axis, the line x = Tr, and the curve y = sin(sin(x)) is rotated about the x-axis. What is the volume of the generated solid? 0 1.219 O 3830 01186 O 5.612 [m Question 6(Multiple Choice Worth 5 points) (06.02) Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 2, and y = 1 is revolved around the line y = -1. On (e2x - 22 )dx On (e2x - 12 ) dx On (@2x + 22 )dx On / ( ( ex + 1 ) - 22 ) axU Question 7(Multiple Choice Worth 5 points) (06.03) For an object whose velocity in ft/sec is given by v(t) = -3t2 + 6, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs? 04 O 7.314 O 3.657 Question 8(Multiple Choice Worth 5 points) (06.03) For an object whose velocity in ft/sec is given by v(t) = -2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs? O -36 O 36 Oo 55.596 Questlon 9(Multiple Choice Worth 5 points) (06.01) Find the area or the region bounded by the curves y = x3 and y = 9x. 010.13 0 40.50 Question 10(Multiple Choice Worth 5 points) (0602) The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are squares. What is the volume, in cubic units, of the solid? [:1