1 pointWhich of these parameters can be used in the function revolution_plot3drevolution_plot3d to specify the angle in which the curve is to be revolved

Which parameter can be used to specify the number of sample points in each direction while using the function plot3dplot3d in SageMath?

In the figure below, the area bound by the functions  𝑦=1𝑥, 𝑦=4, 𝑥=4 and  is to be revolved around the 𝑥=4 axis. Which of the following methods would be valid in determining the volume of the resulting revolved plane area if the differential strip to be revolved is horizontal?

Consider the function 𝑓(𝑥)=𝑥3−6⋅𝑥2. Find the relevant curve sketching information and then select the correct graph from the list below.

Use volume by disk method to Determine the volume of the surface of revolution about1. 𝒙 = 𝟎2. 𝒚 = 𝟎3. 𝒙 = +𝒂Where a is the last digit of your registration number and b is the second last digit of yourregistration number.

Let S be the solid obtained by rotating the region shown in the figure below about the y-axis.The x y-coordinate plane is given. There is a curve and a shaded region on the graph.The curve y = 3x(x − 1)2 starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (0.33, 0.444), goes down and right becoming more steep, passes through the approximate point (0.67, 0.222), goes down and right becoming less steep, and ends at x = 1 on the positive x-axis.The shaded region is above the x-axis and below the curve from x = 0 to x = 1.Explain why it is difficult to use the washer method to find the volume V of S.This answer has not been graded yet.Sketch the solid. What are the circumference c and height h of a typical cylindrical shell?c(x) = 2πr h(x) = 3x(x−1)2 Use the method of cylindrical shells to find the volume V of S.