2. Suppose you revolved the triangular region bound by the axes and the line 4x + 3y = 12 completely around the x-axis to sweep out a solid of revolution. Describe the solid and then find its surface area. Leave your answer exact.

Q: 7m

A:

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

A:

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: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

A:

Q: Use Green's theorem to find the area between ellipse 16 = 1 and circle x2 + y2 = 25.

A:

Q: Write in standard form and identify the surface. Use at least two traces and sketch. Label the…

A: Given,  The surface, 6x2+y+24z2=0

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 5 sxS 21

A: The equation of the given curve is y=13x32.The curve is bounded between x=5 to x=21.We have to find…