Find the volume of the largest sphere that can be submerged in a conical vessel of height 12 inches and radius 7 inches.

a. What is the best way of determining whether the given equation is a circle? b. How will you describe the graphs of the equations that are not circles?

Find an equation of the conic described.Graph the equation.
Parabola; vertex at (0,0); directrix the line y=-3

Sketch the following conic sections:
a)${\displaystyle y^2-4y+8-4x^2=8}$
b)${\displaystyle y^2-4y-4x^2=8}$
c)${\displaystyle 3{(y-5)}^2-7{(x+1)}^2=1}$

The solutions of nonlinear systems of equations are points that have intersection of ? tapered sections.

Whether the statement “I noticed that depending on the values for Aand B assuming that they are not both zero, the graph of $A{x}^2+B{y}^2=C$ can represent any of the conic sections other than a parabola” “makes sense” or “does not make sense”, And explain your reasoning.

Identify the graph of the given nondegenerate conic sections: $3x^2+2y^2+12x-4y+2=0$.

Equations of conic sections, Systems of Non-linear Equations illustrate a series, differentiate a series from a sequence Determine the first five terms of each defined sequence and give its