Mathematics, 26.01.2020 23:31 leeney6166
Let f(x, y)=1+sqrt(4-y^2). (a) evaluate f(3,1). (b) find and sketch the domain of f. (c) find the range of f
Answers: 2
![F(x,y)-1=\sqrt{4-y^2}\\\\ \text{Squaring both sides}\\\\ (F(x,y)-1)^2=4-y^2\\\\y^2=4 -(F(x,y)-1)^2\\\\y=\sqrt{4 -(F(x,y)-1)^2}\\\\4 -(F(x,y)-1)^2\geq 0\\\\(F(x,y)-1)^2-4\leq 0 \\\\(F(x,y)-1)^2-2^2\leq 0\\\\ {(F(x,y)-1)-2][(F(x,y)-1)+2] \leq 0}\\\\ (F(x,y)-3)[(F(x,y)+1] \leq 0\\\\F(x,y)\leq -1 \text{and} F(x,y)\geq 3](/tpl/images/0471/7818/badbe.png)
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Let f(x, y)=1+sqrt(4-y^2). (a) evaluate f(3,1). (b) find and sketch the domain of f. (c) find the r...
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