# wothe resulting sides. Find the size of the corner square that will produce a box having the largestpossible volume.13. A metal cylin drical container with an open top is to hold 8 cubic foot. Find the dimensions thatrequire the least amount of material.14. Use the Extreme Value Theorem (EVT) to find the absolute maximum and absolute minimumvalues of the function f(x)= x+ cos 2x on the interval 0,15. Show that the function f(x)I+xsatisfies the hypotheses of the Mean Value Theorem on theI- xinterval-2,-1], and then find a number c in (-2,-1) that satisfies its conclusion.LUse Newton's Method to approximate the-zero if-f(x) 3+5x-3, aceurate tplaces17. A particle is moving with the given data. Find the position of the particle:a(t) sint + 3cost, s(0) = 0, v(0) = 2many

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I need help understanding how to solve number 17. Thank you help_outlineImage Transcriptionclosewo the resulting sides. Find the size of the corner square that will produce a box having the largest possible volume. 13. A metal cylin drical container with an open top is to hold 8 cubic foot. Find the dimensions that require the least amount of material. 14. Use the Extreme Value Theorem (EVT) to find the absolute maximum and absolute minimum values of the function f(x)= x+ cos 2x on the interval 0, 15. Show that the function f(x) I+x satisfies the hypotheses of the Mean Value Theorem on the I- x interval-2,-1], and then find a number c in (-2,-1) that satisfies its conclusion. LUse Newton's Method to approximate the-zero if-f(x) 3+5x-3, aceurate t places 17. A particle is moving with the given data. Find the position of the particle: a(t) sint + 3cost, s(0) = 0, v(0) = 2 many fullscreen
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Step 1

The following data is provided regarding the movement of a particle.

Step 2

Integrate the acceleration function to obtain the velocity function... help_outlineImage Transcriptionclosev (t)=(sint+3cost) dt v(t)=-cost 3 sint+ C v(0)-1C (apply boundary condi tion) 2 1C C 3 :. v(t)= -cost +3 sint +3 fullscreen

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