Exam 13: Section 8: Functions of Several Variables

Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the point .

Find symmetric equations of the normal line to the surface at the point .

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

Consider the two surfaces . Find the cosine of the angle between the gradient vectors at the point . Round your answer to one decimal place.

Identify the point(s) on the surface where the tangent plane is horizontal.

Find an equation of the tangent plane to the surface at the point .

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

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

Find an equation of the tangent plane to the surface at the point .

Find the angle of inclination of the tangent plane to the surface at the point . Round your answer to two decimal places.

Find the point(s) on the hyperboloid where the tangent plane is perpendicular to the line with parametric equations and .

Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the point .

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

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

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

Find an equation of the tangent plane to the surface at the point .

Find symmetric equations of the normal line to the surface at the point .

Find an equation of the tangent plane to the surface at the point .

Find symmetric equations of the normal line to the surface at the point .

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