MathDB
Problems
Contests
Undergraduate contests
Putnam
1946 Putnam
A5
A5
Part of
1946 Putnam
Problems
(1)
Putnam 1946 A5
Source: Putnam 1946
3/13/2022
Find the smallest volume bounded by the coordinate planes and by a tangent plane to the ellipsoid
x
2
a
2
+
y
2
b
2
+
z
2
c
2
=
1.
\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1.
a
2
x
2
+
b
2
y
2
+
c
2
z
2
=
1.
Putnam
analytic geometry