366 Higher Engineering Mathematics
- Determine the stationary points of the surface
f(x,y)=x^3 − 6 x^2 −[y^2.
Maximum at (0, 0),
saddle point at (4, 0)
]- Locate the stationary points on the surface
f(x,y)= 2 x^3 + 2 y^3 − 6 x− 24 y+ 16
and determine their nature.
⎡
⎣
Minimum at (1, 2),
maximum at (−1,−2),
saddle points at (1,−2) and (−1, 2)⎤
⎦- A large marquee is to be made in the form
of a rectangular box-like shape with canvas
covering on the top, back and sides. Determine
the minimum surface area of canvas necessary
if the volume of the marquee is to the 250m^3.
[150m^2 ]