Worksheet Questions: Functions of Several Variables

• Level Curve

• Surface

• Trace

• Level Surface

What is the first step when sketching the graph of a surface in 3D if one variable is missing?

• Sketch the trace in coordinate planes.

• Make the projection parallel to the missing variable's axis.

• Determine the variables that exist in the equation.

• Find the xz-trace.

• Trace map

• Contour map

• Surface plot

• 3D coordinate system

Evaluate the function f(x, y) = 3x + 2y for x = 4 and y = 5.

• 19

• 22

• 14

• 27