![SOLVED:(a) Use the Mean-Value Theorem to show that √(y)-√(x)<(y-x)/(2 √(x)) if 0< x <y. (b) Use the result in part (a) to show that if 0<x<y, then √(x y)<(1)/(2)(x+y). SOLVED:(a) Use the Mean-Value Theorem to show that √(y)-√(x)<(y-x)/(2 √(x)) if 0< x <y. (b) Use the result in part (a) to show that if 0<x<y, then √(x y)<(1)/(2)(x+y).](https://cdn.numerade.com/previews/0dd529dc-e417-4a0b-87a7-14a22269ce6c_large.jpg)
SOLVED:(a) Use the Mean-Value Theorem to show that √(y)-√(x)<(y-x)/(2 √(x)) if 0< x <y. (b) Use the result in part (a) to show that if 0<x<y, then √(x y)<(1)/(2)(x+y).
![functions - How to account for stretching in graph transformation of $y = \ sqrt{x}$? - Mathematics Stack Exchange functions - How to account for stretching in graph transformation of $y = \ sqrt{x}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/smLr1.png)
functions - How to account for stretching in graph transformation of $y = \ sqrt{x}$? - Mathematics Stack Exchange
![A region is bounded by y = \sqrt x and y = x^6 . Set up the integral to find the volume of the solid formed by rotation this region about the A region is bounded by y = \sqrt x and y = x^6 . Set up the integral to find the volume of the solid formed by rotation this region about the](https://homework.study.com/cimages/multimages/16/volume8041351504399528694.jpg)
A region is bounded by y = \sqrt x and y = x^6 . Set up the integral to find the volume of the solid formed by rotation this region about the
![Find the area of the region bounded by the graphs of the equations \sqrt x + \sqrt y = 2,x=0,y=0 | Homework.Study.com Find the area of the region bounded by the graphs of the equations \sqrt x + \sqrt y = 2,x=0,y=0 | Homework.Study.com](https://homework.study.com/cimages/multimages/16/area6352521678810635659.jpg)
Find the area of the region bounded by the graphs of the equations \sqrt x + \sqrt y = 2,x=0,y=0 | Homework.Study.com
![Find the volume of the solid obtained by rotating about the y-axis the region enclosed by the graphs x = \sqrt{\sin y}, x = 0, 0 \leq y \leq \pi . | Homework.Study.com Find the volume of the solid obtained by rotating about the y-axis the region enclosed by the graphs x = \sqrt{\sin y}, x = 0, 0 \leq y \leq \pi . | Homework.Study.com](https://homework.study.com/cimages/multimages/16/volume6418157924719350476.jpg)
Find the volume of the solid obtained by rotating about the y-axis the region enclosed by the graphs x = \sqrt{\sin y}, x = 0, 0 \leq y \leq \pi . | Homework.Study.com
![How do you find the volume of region bounded by graphs of y = x^2 and y = sqrt x about the x-axis? | Socratic How do you find the volume of region bounded by graphs of y = x^2 and y = sqrt x about the x-axis? | Socratic](https://useruploads.socratic.org/LjQCA6EsSavRxUg8TYzL_volume%20of%20x%5E2%20and%20rootx%29.png)
How do you find the volume of region bounded by graphs of y = x^2 and y = sqrt x about the x-axis? | Socratic
![calculus - Check for vertical tangent at $x=0$ for $y= -\sqrt{|x|}$ for $x\leq0 $, $y= \sqrt{x}$ for $x>0 $ - Mathematics Stack Exchange calculus - Check for vertical tangent at $x=0$ for $y= -\sqrt{|x|}$ for $x\leq0 $, $y= \sqrt{x}$ for $x>0 $ - Mathematics Stack Exchange](https://i.stack.imgur.com/KfGHu.gif)
calculus - Check for vertical tangent at $x=0$ for $y= -\sqrt{|x|}$ for $x\leq0 $, $y= \sqrt{x}$ for $x>0 $ - Mathematics Stack Exchange
SOLUTION: Write an equation for a function that has a graph with the given circumstances - The shape of y=sqrt(x) but shifted left 6 units and down 5 units.
![sqrt(x*x+y*y)+3*cos(sqrt(x*x+y*y))+5 – Google Search has webGL charts « Adafruit Industries – Makers, hackers, artists, designers and engineers! sqrt(x*x+y*y)+3*cos(sqrt(x*x+y*y))+5 – Google Search has webGL charts « Adafruit Industries – Makers, hackers, artists, designers and engineers!](https://cdn-blog.adafruit.com/uploads/2012/03/pt_836.jpg)
sqrt(x*x+y*y)+3*cos(sqrt(x*x+y*y))+5 – Google Search has webGL charts « Adafruit Industries – Makers, hackers, artists, designers and engineers!
![definite integrals - The region between curves $y= {\sqrt x}$ , $0≤x≤4,y=1,x=4$ is revolved about $y=1$. Find the volume of a generated solid. - Mathematics Stack Exchange definite integrals - The region between curves $y= {\sqrt x}$ , $0≤x≤4,y=1,x=4$ is revolved about $y=1$. Find the volume of a generated solid. - Mathematics Stack Exchange](https://i.stack.imgur.com/v1Gpt.png)