Problem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) is h(x) = 10e-², where x is the number of feet from the base. If the cross-sections of the slide are composed of squares centered at and perpendicular to the x-axis, what is the volume of the slide? You may find it helpful to use [²√5 (ii) Suppose that the concrete used to make the slide has the density 1kg/ft³, so that the mass and volume of any part of the slide are equal. Find the center of mass of the slide in z. (#)

Problem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) is h(x) = 10e-², where x is the number of feet from the base. If the cross-sections of the slide are composed of squares centered at and perpendicular to the x-axis, what is the volume of the slide? You may find it helpful to use [²√5 (ii) Suppose that the concrete used to make the slide has the density 1kg/ft³, so that the mass and volume of any part of the slide are equal. Find the center of mass of the slide in z. (#)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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