11. Find the point on the graph of y = x3 that is closest to the point (4, 0). Eup 12. An open box with a rectangular base is to be constructed from a rectangular piece of cardboard 16 inches wide and 21 inches long by cutting a square from each corner and then bending up the resulting sides. Find the size of the corner square that will produce a box having the largest possible volume. 13. A metal cylindrical 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, T 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. Use Newton's Method to approximate the-zero if f(x)=x places +5x-3, aceurate to 3 deeimal 17. A particle is moving with the given data. Find the position of the particle: = sint + 3cost, s(0) = 0 , v(0) = 2 (1)D

11. Find the point on the graph of y = x3 that is closest to the point (4, 0). Eup 12. An open box with a rectangular base is to be constructed from a rectangular piece of cardboard 16 inches wide and 21 inches long by cutting a square from each corner and then bending up the resulting sides. Find the size of the corner square that will produce a box having the largest possible volume. 13. A metal cylindrical 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, T 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. Use Newton's Method to approximate the-zero if f(x)=x places +5x-3, aceurate to 3 deeimal 17. A particle is moving with the given data. Find the position of the particle: = sint + 3cost, s(0) = 0 , v(0) = 2 (1)D

Name: I need help with number 12. Thank you 11. Find the point on the graph
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Description: I need help with number 12. Thank you 11. Find the point on the graph of y = x3 that is closest to the point (4, 0).Eup12. An open box with a rectangular base is to be constructed from a rectangular piece of cardboard16 inches wide and 21 inches long

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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