Aerospace Engineering > GATE 2010 > Multivariable Calculus
In a certain region a hill is described by the shape z(x,y)=1/50x4+y2-xy-3y
and y are in the horizontal plane and axis z points vertically upward. If î ĵ and &kcirc; unit vectors
along x, y and z, respectively, then at the point x=5, y=10 the unit vector in the direction of the
steepest slope of the hill will be:
A
î
B
ĵ
C
&kcirc;
D
î+ĵ+&kcirc;

Correct : a

Similar Questions

The functionf(x1,x2,x3)=x12+x22+x32-2x1-4x2-6x3+14 has its minimum value at
#804 MCQ
Consider the function f(x1,x2)=x12+2x22+e-x1-x2 The vector pointing in the direction ofmaximum increase of the function at the point (1, -1) is
#805 MCQ
The functionf(x,y)=x2+y2-xy-3y has an extremum at the point
#903 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......