Please answer both questions. Thank you. 7x?yExamine the behavior of f(x, y)as (x, y) approaches (0,0).6x4 + y?Use "infinity" for "∞" and "-infinity" for "-o". Use "DNE" for "Does not exist".(a) Taking a linear approach to the origin along the y-axis, we findlim(x,y)→(0,0), x=06x4 + y?(b) Taking a linear approach to the origin along the x-axis, we find7x²ylim(x,y)→(0,0), y=06x4 + y?(c) Taking a linear approach to the origin along a line y = mx with m + 0 we findlim(г,у) —>(0,0), у—тӕ7x?y6x4 + y2)-limThought question: Do your answers to parts (a)-(c) allow you to conclude that the limit exists?(d) Taking an approach to the origin along the parabola y = x² we findlim(x,y)→(0,0), y=æ?7x?y6x4 + y2lim(e) Find the value of the limit. Be sure you can explainyouranswer.lim(x,y)→(0,0)7x²y6x4 + y? Compute the partial derivatives:z =coth(x²y³)dzdxdz||

Name: Please answer both questions. Thank you. 7x?yExamine the behavior of f
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please answer both questions. Thank you. 7x?yExamine the behavior of f(x, y)as (x, y) approaches (0,0).6x4 + y?Use "infinity" for "∞" and "-infinity" for "-o". Use "DNE" for "Does not exist".(a) Taking a linear approach to the origin along the y-axis