Question

write the equation of the cone z2=x2+y2 in sperical form

Answer #1

Write the equation of the sphere in standard form.
x2 +
y2 + z2 +
2x − 4y − 2z
= 10
Find its center and radius.
center
(x, y,
z)
=
radius

Write the equation of the sphere in standard form.
x2 +
y2 + z2 +
4x − 6y − 2z
= 22
Find its center and radius.
center
(x, y, z)
=
radius

Find the surface area of the cone x2 + y2
= z2 that lies inside the sphere x2 +
y2 + z2 = 6z by taking integrals.

Find the volume enclosed by the cone
x2 +
y2 =
z2
and the plane
3z − y − 3 = 0.
(Round your answer to four decimal places.)

Substances X2,
Y2, and Z2 can all act as oxidizing agents.
In solution X2 is green, Y2 is yellow, and
Z2 is red. In the reactions in which they participate,
they are reduced to X–, Y–, and Z–
ions, all of which are colorless. A solution of X2 is
mixed with one containing Y– ions. The color changes
from green to yellow.
a. Write the net
equation for the reaction.
b. Which species
is oxidized?
c. Which species
is the...

Show that the equation x2+y2+z2
= 7 has no integer solutions.
(Using mod)

Show that the equation x2+y2+z2
= 7 has no integer solutions.
(Without mod)

Evaluate the area of the part of the conical surface
x2 + y2 = z2 bounded below by the
sphere x2 + y2 + z2 = 4 and above
by the plane 2x + y + 10z = 20. Derive the final form of the
integral.

Calculate ∫ ∫S f(x,y,z)dS for the given surface and function.
x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.

show that the function f(x,y,z) =
1/√(x2+y2+z2) provides the
equation fxx + fyy + fzz = 0, called the 3−D Laplace equation.

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