Quadric Surfaces How are quadric surfaces and conic sections related?

a. What is the best way of determining whether the given equation is a circle? b. How will you describe the graphs of the equations that are not circles?

Distance between (6,8,2) and (3,4,1)?

Find the equation of the straight lines that pass throught the following sets of points:
a) (2;4);(4;7)
b) (3;-5);(-2;2)
c) (1;3);(-3;1)

A company has introduced a process improvement that reducesprocessing time for each unit, so that output is increased by 25%with less material, but one additional worker required. Underold process, five workers could produce 60 units perhour. Labor costs are $12/hour, and material input waspreviously $16/unit. For the new process, material isnow$10/unit.
Overhead is charged at 1.6 times direct laborcost. Finished units are sold for $31 each. What increase(or decrease) in productivity is associated with the process improvement?
(a) Productivity with old system
(b) Productivity with new system
(c) % change (increase or decrease) in productivity

For the two circles in Figures (a), (b), and (c), find the total number of common tangents (internal and external).
a)
b)
c)

A circular table top has a diameter of 1.6 m. A rectangular tablecloth 2 m by 2 m is placed over the table top. What area of the tablecloth overlaps the table?

Distance between (4,5) and (-6,-7)?