Match each equation to the appropriate graph and classify (name) the quadric surface. c. -x2 – y? + 22 = 1 d. 22 = x² + y² a. 4x2 + y? + 2² = 4 e. 4x? + 9y² – 36z² = 36 %3D b. 2 = 4x? + y² f. z = y² – x² Equation: |Name of Quadric Surface: Equation: Equation: Name of Quadric Surface: Name of Quadric Surface: Equation: Equation: Equation: |Name of Quadric Surface: Name of Quadric Surface: |Name of Quadric Surface:

Q: . Use the method of completing the square to write the following equation in standard form and…

A:

Q: Direction: Complete the table below by writing the equation of each of the following circles given…

A:

Q: Match the equation with the surface it defines.​ Also, identify the surface by type​ (paraboloid,…

A: z2-y2=4x

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: ty'' - (t+1)y'+y=221²; y₁=e¹₁ y₂=t+1

A:

Q: 3. Equation: Center: Vertices: Co-Vertices: Foci:

A:

Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

A:

Q: A quadric surface has the equation x² + 2y² + 2z² + 2yz = 1. Write the equation in tandard form.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.