Answer:
The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is
-12(x + 1)
Step-by-step explanation:
It is given an expression (-2 - 8x) + (-4x - 10)
<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>
Let expression is given by
(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10
= -2 -10 -4x -8x
= -12 -12x
-12(x + 1) (since -12 is common in both terms)
Therefore simplified form is -12(x + 1)
-1 is the first line after 0
8 is 3rd line one the right side after 5
-11 is just first line after 10..
I hope U understand
257 is the answer to this question
So, we know that:
We also know that 
. We will use that fact to find 
in terms of 
and 
.
Therefore:
The area of D is given by:
The average value of f over D is given by:
![\frac{1}{ \frac{343}{3} } \int\limits^7_0 \int\limits^{x^2}_0 {4x\sin(y)} \, dydx = -\frac{3}{343} \int\limits^7_0 {4x\cos(x^2)} \, dx \\ \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Cfrac%7B343%7D%7B3%7D%20%7D%20%20%5Cint%5Climits%5E7_0%20%20%5Cint%5Climits%5E%7Bx%5E2%7D_0%20%7B4x%5Csin%28y%29%7D%20%5C%2C%20dydx%20%20%3D%20-%5Cfrac%7B3%7D%7B343%7D%20%20%5Cint%5Climits%5E7_0%20%7B4x%5Ccos%28x%5E2%29%7D%20%5C%2C%20dx%20%20%5C%5C%20%20%5C%5C%20%3D-%5Cfrac%7B3%7D%7B343%7D%20%5Cint%5Climits%5E%7B49%7D_0%20%7B2%5Ccos%28t%29%7D%20%5C%2C%20dt%3D-%5Cfrac%7B6%7D%7B343%7D%20%5Cleft%5B%5Csin%28t%29%5Cright%5D_0%5E%7B49%7D%20%5C%2C%20dt%3D-%5Cfrac%7B6%7D%7B343%7D%5Csin49)
