Ans: (6,-13)
Rationale:
Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)
1) 2, greater than (>)
4/5 = 8/10
8/10 (4/5) > 2/10
2) 1, less than (<)
3/8 = 30/80 | 6/10 = 48/80
30/80 (3/8) < 48/80 (6/10)
Hope this helps! :)
1. If
, then
. So
.
2. With
, we differentiate once with respect to
and get
![\dfrac{\mathrm d}{\mathrm dx}[x^2+y^2]=\dfrac{\mathrm d}{\mathrm dx}1](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E2%2By%5E2%5D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D1)


Differentiate again with respect to
and we get


(where
).
3. Check the one-side limits where the pieces are split. For
to be continuous everywhere, we need


In the first case, we have


and
, so it's continuous here.
In the second case, we have


so
is discontinuous at
.
4. If
, then
.
5. If
, then
. So
.
6. The average velocity over [1, 2] is given by

7. If
, then
. So
.
8. If
, then

Differentiating, we get

So
.
9. If
, then
. So 
10. If
, then
. So
.
Answer:
Step-by-step explanation:
W FE FAEEFt eFWe faefW F rfdFRWQE q