The area in the first quadrant, bounded by the curve y = 2x12, 1/2 the y-axis and the line y-6 = 0 is revolved about the line y = 6. Find the centroid of the solid formed. A (1.6,6) B (2.0,6) c) (1.8,6) D) (2.2,6)

Q: 4. First, sketch a picture of the line which passes through P = (1, 1, 2) that is perpendicular to…

A:

Q: 4. A 3D solid has base that sits in the x-y coordinate plane. That base is a triangle with vertices…

A: Integrating the equation of curve under certain limit gives the value of area between curve and axis…

Q: 2. Sketch the cylinder y = x² +1.

A: complete graph provided below with python code Explanation:  code behind above :  import numpy as…

Q: Find the surface area for the object obtained by rotating y = 7x + 2 about the x-axis over the…

A: The object is obtained by rotating about the x-axis over the interval .We have to find the surface…

Q: 31. For the bounded and shaded region, find the coordinates of the centroid. y = x- 20 y= x

A: The given problem is related to the coordinates of the centroid. Given a bounded and shaded region,…

Q: 5. Consider the line that connects points (3,1) and (5,5). Find the surface area of the solid…

A:

Q: = The region bounded by the parabolas y2 r-axis. The two curves intersect at x = solid is 16 5x and…

A:

Q: Find the distance between the point (0,0, 8) and the plane given by 2x – y + 2z – 1 = 0.

A:

Q: find the region endlased R by the cunes V=12-2y +1 and Y= -2+2x ャ4.

A: Answer

Q: Plot the surface of 6a2- 2x4- y?z2 = 0, for -10 <x, y, z < 10

A:

Q: Find the equation of the tangent plane to the surface 9x +36y +4z? = 108 at the point (-2,1,-3).…

A:

Q: (b) Find the volume and the surface area of the truncated cone made by the rotation of the solid…

A: Formula of cone: Volume of the cone, V=πr3h3 Surface area, A=πrs+πr2 where, r= radius of the base h=…