5. The base of a solid is bounded by the curves y=3 - (a+ 1) , y = 2 and & = 2. If the cross-sections of the solid perpendicular to the y-axis are semicircles, what is the volume of the solid? 6.667 6.283 O 3.142 O 2.000 O 26.599 6. The base of a solid is the region bounded by y = In(x) y = 0 and x = 4. Each cross-section perpendicular to the x-axis is a rectangle with a height ofh = . What is the volume of the solid? O 4.292 O 7.887 11.434 O 5.021 9.455 7. The base of a solid is determined by the region bounded by the curves f (x) = 2 - 4 and g(x) = 4 - 2. If the cross-sections of the solid perpendicular to the r-axis are squares, what is the volume of the solid? O 55.466 O 63.921 68.267 42.667 O 34.1331. The base of a solid is the region bounded by y = 2 y = -va and = = 3. If the height of the cross-sections perpendicular to the x-axis is 2, what is the volume of the solid? (The cross-sections are rectangles) O O 3(2 + v3) 4v3 6V/3 2. The base of a solid is bounded by the functions f (x) = V2x, g(x) = V-2x, and y = 2. If the cross-sections perpendicular to the y - aris are rectangles with a height equal to } the length of the base, what is the volume of the solid? O 15 O 32 O 16 3. The base of a solid is bounded by the x-axis and the parabola y = 2x - 2. If the cross-sections perpendicular to the x-axis are triangles, with a height equal to twice the length of the base, what is the volume of the solid? O 32 O O 34 /30 O 4. The base of a solid is the region in the first quadrant enclosed by the graphs of the following equations: f (x) - 21 1 = 0 y = 2 If the cross-sections perpendicular to the x-axis are squares what is the volume of the solid? 7.65 1.65 10.35 4.50 19.655. The average value of / (2) = + on the interval [1, 4] is approximately 0.46. O True OFalse 6. For t 2 0, an object's velocity is given by v(t) = -212 + 8. If the object's position at t = 0 is a = 3, what is its total distance traveled on the intervalt = 0 tot = 3? O 0.67 15.33 5.11 15.00 6.00 7. If the acceleration of a particle is modeled by a(t) = 2t + 1, the velocity of the particle at time t = 5 is v(5) = 8, and the position of the particle at time t = 10 is d(10) = 50, what is the position of the particle at time t = 7? 383.3 -128.5 -194.5 O 116.1 O -15.2 8. If an object's velocity may be measured by the equation w(t) = vt + 1 for 2