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Author Question: Find and classify the critical points of the following function: f(x, y) = (y- 2x)5 + 30x3 - 15y3. (Read 34 times)

ETearle

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Question 1

A rectangular box with no top has given surface area  S.  Find the length, width, and height of the box if the volume is as large as possible.
◦ length = width = ,  height =  
◦ length = width = ,  height =  
◦ length = width = ,  height =  
◦ length = width = ,  height =  
◦ length = width = ,  height =  

Question 2

Find and classify the critical points of the following function: f(x, y) = (y- 2x)5 + 30x3 - 15y3.
◦ saddle points are (0, 0), (, - ) and (- , ), maximum at (3, -3) and minimum at (-3, 3)
◦ saddle points are (0, 0), (, - ) and (- , ), minimum at (3, 3) and maximum at (-3, -3)
◦ saddle points are (, - ) and (- , ), maximum at (3, 3) and minimum at (-3, -3)
◦ saddle points are (0, 0), (, - ) and (- , ), maximum at (3, 3) and minimum at (-3, -3)
◦ saddle points are (0, 0), (, - ),  (- , ),  (3, 3), and  (-3, -3)


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Marked as best answer by ETearle on May 27, 2021

smrerig

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ETearle

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Reply 2 on: May 27, 2021
YES! Correct, THANKS for helping me on my review


okolip

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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