Question 1(Multiple Choice Worth 4 points) Which integral gives the area of the region in the first quadrant bounded by the axes, y = ex, x = ey, and the line x = 4? O jexax + jin ( * ) dx Ojexax + ( ( ex - In( x ) jax In4 o [ (ex-In(y)dy o j (ex - In( x ) jdyTi Question 2(Multiple Choice Worth 4 points) Which of the following integrals represents the area of the region bounded by x = 0, x = 1 and the functions f(x) = 2x4 and g(x) = x2? 0 l(x=+2x4)dx o 1(x2-2x')dx Question 3 (Fill-ln-The-Blank Worth 4 points) Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0, and x = 4 into two regions with equal area. Give your answer correct to 3 decimal places. Answer for Blank 1: [E] U Question 4(Multiple Choice Worth 4 points) Find the area of the region bounded by the graphs of y = 2 - x2 and y = -x. 04.5 0 -1.833 0 None of these ff Question 5(Multiple Choice Worth 4 points) Find the area of the region bounded by the graphs of y = x, y = x + 4, and y = 0. 0 None of these Question 1(Multiple Choice Worth 4 points) [:1 The base of a solid in the rst quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 2. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units, of the solid? 0 O ulaz ml:- 0 \"la: Question 2(Multiple Choice Worth 4 points) If:3 The base of a solid in the region bounded by the parabola x2 + y = 4 and the line x + y = 2. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of the solid? 0% 20 U Question 3(Multiple 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 y-axis. 0 None of these 0 Question 4(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 = 3 and y = 0 is rotated around the y-axis? On 25 - yz - 3 ) dy On (25 - yz - 32 dy On ( 32 - ( 125 - 42 ) Jay On V25 - x2 dy 3Question 5(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 O 1.57 O 6.28 O 2.00 [C] Question 1(Multiple Choice Worth 4 points) A pitcher throws a baseball straight into the air with a velocity of 72 feet/sec. If acceleration due to gravity is -32 ft/sec, how many seconds after it leaves the pitcher's hand will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet. O 2.25 O 2.5 O 4.25 O 4.513 Question 2(Multiple Choice Worth 4 points) For an object whose velocity in fl/sec is given by v(t) = t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 0 7.67 O -0.33 Question 3(Multiple Choice Worth 4 points) Find the average value of f(x) = _ over the interval [e, 2e]. O In (2) O Ln2 O Ln3U Question 4(Multiple Choice Worth 4 points) Find the distance, in meters, a particle travels in its rst 10 seconds of travel, if it moves according to the velocity equation v(t)= 49 - 9.8! (in meters/sec). Question 5(Mumpie Choice Worth 4 points) Find the velocity, v(t), for an object moving along the x-axis if the acceleration, 3(1), is 6(1) = 3t2 + cos(t) and v(0) = 2. O v(t) = t3 + sin(t) + 2 O v(t) = t3 sin(t) + 3 O v(t) = 6t sin(t) + 2 O v(t) = t3 - sin(t) + 2 [LI]