Find the area of the surface obtained by rotating the circle x^2+y^2=r^2 about the line y=2r

Q: Without using a graphing utility, sketch the surface with equation x2 + y2 − z2 = 0.

A: Surface with the equation

Q: Describe a surface of revolution in your own words.

A:

Q: Identify the type of quadric surface defined by the equation and find all x-, y-, and z-intercepts…

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Q: Consider the Folowing equation of a quadric surface 4×^2+9y^2+9z^2=36 a. Find the intercepts with…

A: Given question is Consider the following equation of a quadratic surface4×^2+9y^2+9z^2=36. We have…

Q: ortion of the surface z = 3x + 20 that lies inside x^2 + y^2 = 4. Sketch the surface accurately.…

A: Introduction: The formula of the surface z=f(x,y), that lies inside the region R is given by,…

Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: What is a trace of a surface?

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Q: Identify the type of surface (in space) given by the equation, and sketch the surface. a. x^2+y^2=25

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: What quadric surface is the following an equation for and how do you know? -9x^2-3x+y^2+z^2= 1/4

A: The given quadratic equation is .We know that the quadratic surface of the form  form a cone.

Q: d the area of the surface generated when the given curve is revolved about the given axis.   y=7+…

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Q: Sketch the graph of the equation in xyz coordinate system and identify the surface 8x? + 4y? – z2 =…

A: Sketch the graph for the given surface.

Q: Find the equation of the surface of revolution generated by rotating the parabola y = z^2 around the…

A: A surface of revolution generated by rotating a curve described by y=f(z) around z-axis is given as…