The base of a certain solid is the triangle with vertices at (-6, 3), (3, 3), and the origin. Cross-sections perpendicular to the y- axis are squares. The volume of this solid is

Q: Consider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at A =…

A:

Q: central-difference method to approximate the derivative of f(x) = ln x² with value Use of x at 1.8,…

A: As multiple questions are there and it is not mentioned that which question to be solved, I will…

Q: The square region with vertices (15,0), (30,15). (15,30), and (0,15) is revolved about the x-axis to…

A:

Q: 2. Consider the triangle with vertices at A = (0,0), B = (-6, –9), and C = (-15,0). (a) Find the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the volume of the tetrahedron formed by the intersection of the coordinate planes and the plane…

A: Given plane is

Q: onsider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices at A = (1,…

A: Given vertices of the tetrahedron :  A = (1, 0, 0), B = (0, 2, 0), C = (0, 1, 3), and D = (2, 2,…

Q: Find the maximum volume of a box that is resting on the xy-plane with one vertex at the origin and…

A: Given the plane is 3x+4y+2z=12

Q: (2, 3.5)

A: Here, the given function is,

Q: The base of a solid is a square with vertices located at (1, 0),(0, 1),(−1, 0), and (0, −1). Each…

A: Given,

Q: Determine the volume of a triangular prism with vertices at A(-1,1,3), B(-1,0,0), C(2,0,0) and D…

A: 1:  2:

Q: Solution to Part ii) of the question above is missing: [ii] Let ABCD be a tetrahedron with…

A: (ii) Given that, ABCD is a tetrahedron with vertices A(−4,1,2), B(0,2,−2), C(1,−1,2) and D(1,0,2).…