True or False: The exact length of the parametric curve {image} is {image} .

1. True or False: The exact length of the parametric curve {image} is {image} . • True • False

2. 1. 2. 3. 4. Find the distance traveled by a particle with position ( x, y ) as t varies in the given time interval. Compare with the length of the curve. {image} • {image} • {image} • {image} • {image}

3. 1. 2. 3. 4. Set up, but do not evaluate, an integral that represents the area of the surface obtained by rotating the curve about the x-axis. {image} • {image} • {image} • {image} • {image}

4. If the arc of the curve {image} is rotated about the x-axis, estimate the area of the resulting surface to two decimal places using Simpson's Rule with n = 4. • S = 10.92 • S = 22.15 • S = 15.92 • S = 23.45

5. 1. 2. 3. Use the formula {image} to find the curvature of the parabola y = x 2 at the point ( 4, 16 ). At what point does this parabola have maximum curvature? • {image} • {image} • {image}