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1. The graph below consists of a quarter-circle and two line segments, and representsthe velocity of an object during a 6-second interval.

The object's average speed (in units/sec) during the 6-second interval is

2. The graph below consists of a quarter-circle and two line segments, and representsthe velocity of an object during a 6-second interval.

The object's acceleration (in units/sec2) at t = 4.5 is

3.

Which of the following equations can be a solution of the differential equation whoseslope field is shown above?

4. If y is a differentiable function of x, then the slope of the curve of xy2 - 2y + 4y3 = 6 at the point where y = 1 is

5. In the following, L(n), R(n), M(n), and T(n) denote, respectively, left, right, midpoint, and trapezoidal sums with n subdivisions. Which of the following is not equal exactly to

6. The table shows some values of a differentiable function f and its derivative f ′:

Find

7. The solution of the differential equation for which y = -1 when x = 1 is

8. The base of a solid is the region bounded by the parabola y2 = 4x and the line x = 2. Each plane section perpendicular to the x-axis is a square. The volume of the solid is

9. Which of the following could be the graph of