Find the parametric equation for a circle of radius 3 centered at the origin, starting at the point (0, 3) when t=0.

Consider the sequence . Does  converge or diverge? If the sequence converges, give its limit as a decimal. Otherwise select “diverges”.

A slope field is shown on a coordinate grid from approximately negative seven to seven on both axes. The short line segments form vertical columns, indicating the slope depends only on x and is constant for all y-values at each x-value. Along the vertical line x equals zero, the segments are horizontal, showing slope equals zero there. Additional vertical zero-slope lines appear at regular intervals to the left and right of the y-axis. As x increases, the slopes oscillate in a repeating pattern: positive, zero, negative, zero, and positive again, with the steepest segments occurring midway between consecutive zero-slope vertical lines. The slope field shown above is for which differential equation?

Find the rectangular form of the polar equation .

Consider the series . Which of the following is true about this series?

Find the position for a particle with acceleration   Given the initial conditions

FInd dy/dx if 

Find the volume of the solid of revolution generated by revolving the region bounded by   and    about the x-axis. Round your answer to the nearest thousandths place.

Consider the sequence . What is the limit of this sequence? If the limit does not exist, write “diverges”.

Suppose that a slice of pizza at a temperature of 80 degrees has been placed inside a freezer, where the temperature is 2 degrees. If the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation: