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The temperature at the point on a metal plate is modeled by , . Find the directions of no change in heat on the plate from the point .  

For the function given by   describe the level surface given by . ​

Examine the function for relative extrema and saddle points.  

Find an equation in rectangular coordinates for the equation given in spherical coordinates. ​ ​

Please match the correct eye structure to the correct description.

Two insects are crawling along different lines in three-space. At time t (in minutes), the first insect is at the point where . Also, at time t, the second insect is at the point where . Assume distances are given in inches. How close do the insects get? Round your answer to two decimal places.  

Find an equation for the surface of revolution generated by revolving the curve in the yz-plane about the y-axis.  

Determine whether any of the lines given below are parallel or identical.  

_________________________ is a struggle between opposing forces in a plot.

The process of gerrymandering refers to