+0  
 
0
70
1
avatar+638 

Find the area of the region determined by the system \(\begin{align*} y &\geq |x| \\ y &\leq -|x+1| + 4. \end{align*}\)
 

waffles  Mar 15, 2018
Sort: 

1+0 Answers

 #1
avatar+85821 
+1

This area forms a rectangle with vertices  (0,0), (1.5,1.5), (-1,4)  and (-2.5, 2.5)

 

The length of one side is  √ [2 * 1.5^2 ] =  1.5√2

And the length of the other side is √ [2 *2.5^2 ]  = 2.5√2

 

So  the total area  = 1.5√2 * 2.5√2  =  3.75 * 2    =  7 units^2

 

Here's a pic of the region :  https://www.desmos.com/calculator/zlpwagi3cx

 

 

cool cool cool

CPhill  Mar 15, 2018

38 Online Users

avatar
avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details