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1. The average value of f(x) = e^{4x2} on the interval is

2.

3. Find the value(s) of of x^{2}y + y^{2} = 5 at y = 1.

4. The graph of y = x^{3}- 2x^{2} - 5x + 2 has a local maximum at

5. Approximate using the Trapezoid Rule with n = 4, to three decimal places.

6. The volume generated by revolving about the x-axis the region above the curve y = x^{3}, below the line y = 1, and between x = 0 and x = 1 is

7. A 20-foot ladder slides down a wall at 5 ft/sec. At what speed is the bottom sliding out when the top is 10 feet from the floor (in ft/sec)?

8.