Question 1(Multiple Choice Worth 4 points) The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 6. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units, of the solid? O 36 O 18 O 108 0 72 Question 2(Mumple Choice Worth 4 points) Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x = 4, and y = 1 about the yaxis. 0 None of these 0 Question 3(Multiple Choice Worth 4 points) Use your calculator to nd the approximate volume in cubic units of the solid created when the region under the curve y = sin(x) on the interval [0, TI'] is rotated around the x-axis. O 4.93 01.57 0 6.28 O 2.00 [G Question 4(Multiple Choice Worth 4 points) The base of a solid in the region bounded by the two parabolas y = 8x and x2 = By. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of the solid? O 2887: 35 O 576:: 35 O 144:: 35 0811 [C1 Question 5(Multiple Choice Worth 4 points) Which of the following integrals correctly computes the volume formed when the region bounded by the curves x2 + y2 = 25, x = 4 and y = O is rotated around the yaxis? 3 ' 2 o a] ,j25y24)dy 0 On: 42[ 25y2]2]dy 03.: 2 Wde On [WT42b o".U T7 Question 1(Multiple Choice Worth 4 points) Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. O v(t) = t2 + cos(t) + 3 Ov(t) = 2 + oos(t) +1 0 v(t) = t2 cos(t) + 5 O v(t) = t2 + sin(t) + 4 U Question 2(Multiple Choice Worth 4 points) For an object whose velocity in lsec is given by v(t) = -t2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 0 9.000 O 9.000 0 10.596 0 -3.00 Question 3(Multiple Choice Worth 4 points) Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= -2 + 4 (in feet/sec). w /8 O 16 3 O 16 O 12Question 4(Multiple Choice Worth 4 points) it: An elementary student kicks a ball straight into the air with a velocity of 16 feet/sec. If acceleration due to gravity is -32 ftlsecz, how many seconds after it leaves his foot will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet. 0 1.25 O 6 O 0.50 0 Cannot be determined U Question 5(Multiple Choice Worth 4 points) Find the average value of f(x) = sin(x) over the interval [0, 11]. 0211