![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).
![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 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
![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)