2A) If this function were to be rotated around the horizontal axis in three dimensions, the resulting function would look like the function z = f(x,y) written below. Use fsurf to plot both the positive and negative parts of this multivariable function on the same set of axes using hold on. Use the indicated ranges of values of x and y below for the domain in the xy-plane (figure 1). z = ± √(f(x))² - y² - 1.1 ≤ y ≤ 1.1. 2B) Write clear variables on a line in your script after your answers for 2A, then proceed to the following problem. Consider f(x) from above over the interval [ π/(b + 1), (d + 30)/6]. You are going to find the volume of the solid formed by rotating this function around the x-axis by using MATLAB operations. Use a for loop combined with a sum command to get a left-hand estimate and a right-hand estimate of the volume of the solid (using the washer method). Assume that you will have 25 subrectangles for both estimates. Compute the average of the left and right sums in MATLAB and declare your result P2B. TT b + 1 ≤x≤ 10 2C) Write clear variables on a line in your script after your answers for 2B, then proceed to the following problem. Consider f(x) from above over the same interval [n/(b + 1), (d + 30)/6]. You are going to find the volume of the solid formed by rotating this function around the x-axis again by using MATLAB operations; this time, use int and vpa together to get a numerical approximation. Declare your result P2C.
2A) If this function were to be rotated around the horizontal axis in three dimensions, the resulting function would look like the function z = f(x,y) written below. Use fsurf to plot both the positive and negative parts of this multivariable function on the same set of axes using hold on. Use the indicated ranges of values of x and y below for the domain in the xy-plane (figure 1). z = ± √(f(x))² - y² - 1.1 ≤ y ≤ 1.1. 2B) Write clear variables on a line in your script after your answers for 2A, then proceed to the following problem. Consider f(x) from above over the interval [ π/(b + 1), (d + 30)/6]. You are going to find the volume of the solid formed by rotating this function around the x-axis by using MATLAB operations. Use a for loop combined with a sum command to get a left-hand estimate and a right-hand estimate of the volume of the solid (using the washer method). Assume that you will have 25 subrectangles for both estimates. Compute the average of the left and right sums in MATLAB and declare your result P2B. TT b + 1 ≤x≤ 10 2C) Write clear variables on a line in your script after your answers for 2B, then proceed to the following problem. Consider f(x) from above over the same interval [n/(b + 1), (d + 30)/6]. You are going to find the volume of the solid formed by rotating this function around the x-axis again by using MATLAB operations; this time, use int and vpa together to get a numerical approximation. Declare your result P2C.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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a=3 b=7 c=7 d=17
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