Given , find .  

Find the distance between the planes given below.  

Find an equation of a plane passing through the given point and perpendicular to the given vector. Point: Vector:  

Find the distance between the point and the plane .  

Find the directional derivative of the function at in the direction of . Round your answer to two decimal places. ​

Convert the following point from cylindrical coordinates to rectangular coordinates.  

Find the unit normal vector to the surface at the point . ​

Use Lagrange multipliers to find the maximum value of where and , subject to the constraint . ​

If a pigment absorbed all wavelengths of blue light, what color would the pigment appear? Explain.

Indicate whether the following statement is True or False. During the cell cycle, DNA replication occurs during interphase.