A unit tangent vector to the surface x + 2 y + 3 z = 6 at the point (3, 0, 1) is

ID: 2848452 • Letter: A

Question

A unit tangent vector to the surface x+2y+3z=6 at the point (3, 0, 1) is?

An equation of the tangent plane to the surface f(x,y)=16?2x2?y2 at the point (1, -2, 10) is ?

A set of parametric equations for the normal line to the surface x2+y2?z2=0 at the point (-3, 4, 5) is ?

The minimum value of the function f(x,y)=x2+y2?xy?4 is?

The saddle point of the function f(x,y)=x2?y2?2x?6y?3 is ?

For the function f(x,y)=x3+y3+3xy?2, (0, 0, -2) is a saddle point and (-1, -1, -1) is a relative maximum.

Three positive numbers x, y, and z whose sum is 54 and whose product is a maximum are x = y = 20 and z =

The minimum distance from the point (0, 0, 0) to the plane x + 2y + z = 6

Using Lagrange multipliers, the maximum of f(x,y,z)=4x2+y2+z2with the constraint 2x?y+z=4 is

If the temperature on the surface x2+y2+4z2=12 is given by T(x,y,z)=x2+y2, then the maximum temperature on this surface is?

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