Parameterize the ellipsoid using the augmented spherical coordinates:
Then the Jacobian for the change of coordinates is
which has determinant
Then the volume of the ellipsoid is given by
where
denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume
9.99*4=39.96
39.96*.20=7.992 39.96-7.992=31.968
31.968*.0675=2.1578 31.968+2.1578=
$34.13
Answer:
y= ab if a≠b
Step-by-step explanation:
y/a −b= y/b −a
multiply each side by ab to clear the fractions
ab(y/a −b) = ab( y/b −a)
distribute
ab * y/a - ab*b = ab * y/b - ab *a
b*y - ab^2 = ay -a^2 b
subtract ay on each side
by -ay -ab^2 = ay-ay -a^2b
by -ay -ab^2 =-a^2b
add ab^2 to each side
by-ay -ab^2 +ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab(b-a)
divide by (b-a)
y (b-a) /(b-a)= ab(b-a)/(b-a) b-a ≠0 or b≠a
y = ab
Answer:
ok
Step-by-step explanation:
