18. The region between the curve y = √√x, 0 ≤ x ≤ 4, and the x-axis is revolved about the x- axis to generate a solid. Find its volume (a) (c) 2π 4π (b) (d) 8π 6π

Q: The region bounded by the curves y = x²+2x+3 and the line y = 2x+7 is revolved about the x-axis to…

A:

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

A: Given: The volume of solida). b). Aim:To describe and sketch the solidThe formula used:The volume…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9- x² and y = 2x +6 is…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Find the volume of the solid generated by revolving the region under the curve f (x) = x² + 1…

A:

Q: 9. Find the volume of the solid generated by revolving about the axis y = 8 of the area bounded by…

A: To Find: The volume of the solid generated by revolving about the line y=8 of the area bounded by…

Q: * = Vy +5,

A: We have to evaluate the area of the surface generated by revolving the curve  x=y+5 between the…

Q: 1. What is the differential for the total surface area of a frustum of a cone with l as the slant…

A: Given slant height l. Let r and R be the radii of the frustum. Let h be the height of the frustum.…

Q: 2. a) Sketch the region enclosed by the curves y=-x² +3x and y= x². Hence, find the area of the…

A: We have give curves y=-x2+3x and y=x2its graph is  Now find point of intersection of curves…

Q: 1)a) What is the area under the curve y = 2³ and above the x-axis between z = 1 and 2 = 3? What is…

A:

Q: 12. Determine the volume of the solid above the surface z = √x² + y² and inside the sphere x² + y² +…

A: The given problem is to find the volume of solid bounded above by cone and bounded inside the…