If [math]\sqrt{1-x^2}+\sqrt{1-y^2}=a(x-y)[/math], how can I prove [math]\frac{\mathrm{d} y}{\mathrm{d} x} = \sqrt{\frac{1-y^2}{1-x^2}}[/math]? - Quora
![calculus - find the area of the shaded region $x=y^2-1, y=1, x=\sqrt y$ - Mathematics Stack Exchange calculus - find the area of the shaded region $x=y^2-1, y=1, x=\sqrt y$ - Mathematics Stack Exchange](https://i.stack.imgur.com/FhkcS.jpg)
calculus - find the area of the shaded region $x=y^2-1, y=1, x=\sqrt y$ - Mathematics Stack Exchange
![Using geometry, calculate the volume of the solid under z=\sqrt{16-x^2-y^2} and over the circular disk x^2+y^2 \leq 16 . | Homework.Study.com Using geometry, calculate the volume of the solid under z=\sqrt{16-x^2-y^2} and over the circular disk x^2+y^2 \leq 16 . | Homework.Study.com](https://homework.study.com/cimages/multimages/16/graph1966596785974543271.png)
Using geometry, calculate the volume of the solid under z=\sqrt{16-x^2-y^2} and over the circular disk x^2+y^2 \leq 16 . | Homework.Study.com
![The region under the curve y=sqrt(1+x^2) bounded by 0<=x<=1 is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of The region under the curve y=sqrt(1+x^2) bounded by 0<=x<=1 is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of](https://useruploads.socratic.org/SB1Mty0TTQfvxRKsnWcT_integral-206_Page_1-2-3-4-5-6.png)
The region under the curve y=sqrt(1+x^2) bounded by 0<=x<=1 is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of
![derivatives - Prove that $\frac{dy}{dx} = -\frac1{(1+x)^2}$ for given that $ x\sqrt{1+y} + y\sqrt{1+x} = 0$ - Mathematics Stack Exchange derivatives - Prove that $\frac{dy}{dx} = -\frac1{(1+x)^2}$ for given that $ x\sqrt{1+y} + y\sqrt{1+x} = 0$ - Mathematics Stack Exchange](https://i.stack.imgur.com/d3Cdf.jpg)
derivatives - Prove that $\frac{dy}{dx} = -\frac1{(1+x)^2}$ for given that $ x\sqrt{1+y} + y\sqrt{1+x} = 0$ - Mathematics Stack Exchange
How to solve the differential equation [math]x\sqrt{1-y^2}\,dx + y\sqrt{1-x^ 2}\,dy = 0[/math] - Quora
![Find the General Solution of the Differential Equation `Dy/Dx + Sqrt((1-y^2 )/(1-x^2)) = 0` - Mathematics | Shaalaa.com Find the General Solution of the Differential Equation `Dy/Dx + Sqrt((1-y^2 )/(1-x^2)) = 0` - Mathematics | Shaalaa.com](https://www.shaalaa.com/images/_4:76a3959895eb46babc2dee43dc593a53.png)