QUESTION 2 ONLY Question 1:(1 point) Consider the curves y = 7z2 +4x and y =-z2 + 4 a) Determine their points of interse...
Problem 2 (1) Find the area enclosed by the curves y 2 and y-4z-z2 (2) Find the volume of the solid whose base is the triangular region with vertices(0, 0), (2, 0), and (0,1). Cross-sections perpendicular to the y-axis semicircles. are (3) Find the volume of the solid by rotating the region bounded by y=1-z2 and y-0 about the r-axis. 2-z2. Find the volume (4) Let R be the region bounded by y--x2 and y of the solid obtained by...
I'm getting it wrong for some reason and it's literally right?! Can someone explain to me what is going on Let S be the solid with flat base, whose base is the region in the z y plane defined by the curves y - e,y--1,0and a-1, and whose cross sections perpendicular to the x axis are equilateral triangles with bases that sit in the r y plane a) Find the area A() of the cross-section of S given by the...
5. Let R be the region bounded by the graph of, y Inr + 1) the line y 3, and the line x - 1. (a)Sketch and then find the area of R (b) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an equilateral triangle. (c) Another solid whose base is also the region R. For this solid, each cross section perpendicular to the x-axis is a Semi-circle...
Urgent!! Please check my work Let Sbe the solid with flat base, whose base is the region in the z y plane defined by the curves y = ez. y =-2, z 0 and z = 1, and whose sections perpendicular to the a axis are equilateral triangles with bases that sit in the ax y plane. a) Find the area A () of the cross-section of S given by the equilateral triangle that stands perpendicular to the az ais,...
Consider a solid whose base is the region bounded by the curves y = (−x^2) + 3 and y = 2x − 5, with cross-sections perpendicular to the y-axis that are squares. a) Sketch the base of this solid. b) Find a Riemann sum which approximates the volume of this solid. c) Write a definite integral that calculates this volume precisely. (Do not need to calculate the integral)
Calculus question! A volume is described as follows: 1. the base is the region bounded by y = -x^2 + 4x + 76 and y = x^2 - 20x + 116; 2. every cross section perpendicular to the x-axis is a semi-circle. Find the volume of this object.
3, the base is the region bounded by these three curves y=3.5x^2+0.6, y=e^ (3.5x) and x=1 Each cross section perpendicular to the x-axis is a square. Find the volume of this solid.
(1 point) Find the length of the curve defined by y=18(8x2−1ln(x))y=18(8x2−1ln(x)) from x=4x=4 to x=8 (1 point) Find the area of the region enclosed by the curves: 2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5 HINT: Sketch the region! (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9; about the x-axis. (1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
(1 point) Find the volume of the solid whose base is the region in the first quadrant bounded by y=x?, y=1, and the y-axis and whose cross-sections perpendicular to the x axis are squares. Volume =
4. Sketch the region enclosed by the curves y = x, y = 4x, y = -x +2, and find its area by any method. 5. Find the volume of the solid generated when the region between the graphs of f(x) = 1 + x2 and g(x) = x over the interval (0, 2) is revolved about the x- axis.