Let $f ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } }$

question 142

Essay

Let $f ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } }$ .(a) Sketch the intersection of $z = f ( x , y )$ and $z = 1$ in the $x y$ -plane.(b) Sketch the intersection of $z = f ( x , y )$ and $x = 0$ in the $y z$ -plane.(c) Sketch the intersection of $z = f ( x , y )$ and $y = 1$ in the $x z$ -plane.(d) Sketch the graph of $z = f ( x , y )$ in $\mathbb { R } ^ { 3 }$ .

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Definitions:

Gender Gap

The difference in outcomes such as wages, education, and opportunities between genders, highlighting inequalities.

Coffee Shop

A retail establishment that primarily serves coffee and other refreshments, often providing a place for social interaction or work.

Janitorial Duties

Tasks involved in the cleaning and maintenance of buildings and grounds, such as sweeping, mopping, trash removal, and minor repairs.

Gender Gap in Earnings

The disparity between women's and men's earnings, often measured as the ratio of women's to men's median annual earnings among full-time, year-round workers.