Do both specialty centre of mass part in detail Problem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) ish(x) = 10e-², where x is the number of feet from the base. If the cross-sections ofthe slide are composed of squares centered at and perpendicular to the x-axis, what isthe volume of the slide?You may find it helpful to use[²° e ²² dx = √²/²(ii) Suppose that the concrete used to make the slide has the density 1kg/ft³, so that themass and volume of any part of the slide are equal. Find the center of mass of theslide in z.(#)

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Problem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) is h(x) = 10e-², where a 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-azis, what is the volume of the slide? You may find it helpful to use Se - $dx = √²/² (#) (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 a.

Problem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) is h(x) = 10e-², where a 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-azis, what is the volume of the slide? You may find it helpful to use Se - $dx = √²/² (#) (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 a.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 68E

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